1010002121011 has 16 divisors (see below), whose sum is σ = 1181875287040. Its totient is φ = 854749078560.

The previous prime is 1010002120979. The next prime is 1010002121027. The reversal of 1010002121011 is 1101212000101.

It is not a de Polignac number, because 1010002121011 - 2⁵ = 1010002120979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010002121311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65945205 + ... + 65960518.

It is an arithmetic number, because the mean of its divisors is an integer number (73867205440).

Almost surely, 2^{1010002121011} is an apocalyptic number.

1010002121011 is a deficient number, since it is larger than the sum of its proper divisors (171873166029).

1010002121011 is a wasteful number, since it uses less digits than its factorization.

1010002121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131905786.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010002121011 its reverse (1101212000101), we get a palindrome (2111214121112).

The spelling of 1010002121011 in words is "one trillion, ten billion, two million, one hundred twenty-one thousand, eleven".