1020100202121 has 192 divisors, whose sum is σ = 1894926458880. Its totient is φ = 471070494720.

The previous prime is 1020100202057. The next prime is 1020100202129. The reversal of 1020100202121 is 1212020010201.

It is not a de Polignac number, because 1020100202121 - 2⁶ = 1020100202057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020100202097 and 1020100202106.

It is not an unprimeable number, because it can be changed into a prime (1020100202129) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1418776000 + ... + 1418776718.

It is an arithmetic number, because the mean of its divisors is an integer number (9869408640).

Almost surely, 2^{1020100202121} is an apocalyptic number.

1020100202121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020100202121 is a deficient number, since it is larger than the sum of its proper divisors (874826256759).

1020100202121 is a wasteful number, since it uses less digits than its factorization.

1020100202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020100202121 its reverse (1212020010201), we get a palindrome (2232120212322).

It can be divided in two parts, 1020100 and 202121, that added together give a palindrome (1222221).

The spelling of 1020100202121 in words is "one trillion, twenty billion, one hundred million, two hundred two thousand, one hundred twenty-one".