1020102101122 has 16 divisors (see below), whose sum is σ = 1650291326712. Its totient is φ = 470120901120.

The previous prime is 1020102101093. The next prime is 1020102101131. The reversal of 1020102101122 is 2211012010201.

It can be written as a sum of positive squares in 4 ways, for example, as 808666749081 + 211435352041 = 899259^2 + 459821^2 .

It is a super-2 number, since 2×1020102101122² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28959279 + ... + 28994482.

Almost surely, 2^{1020102101122} is an apocalyptic number.

1020102101122 is a deficient number, since it is larger than the sum of its proper divisors (630189225590).

1020102101122 is a wasteful number, since it uses less digits than its factorization.

1020102101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57954453.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1020102101122 its reverse (2211012010201), we get a palindrome (3231114111323).

The spelling of 1020102101122 in words is "one trillion, twenty billion, one hundred two million, one hundred one thousand, one hundred twenty-two".