100121011012 has 72 divisors (see below), whose sum is σ = 204103390680. Its totient is φ = 42793344000.

The previous prime is 100121010973. The next prime is 100121011049. The reversal of 100121011012 is 210110121001.

It can be written as a sum of positive squares in 4 ways, for example, as 84741538816 + 15379472196 = 291104^2 + 124014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100121011012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10107262 + ... + 10117162.

It is an arithmetic number, because the mean of its divisors is an integer number (2834769315).

Almost surely, 2^100121011012 is an apocalyptic number.

It is an amenable number.

100121011012 is an abundant number, since it is smaller than the sum of its proper divisors (103982379668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121011012 is a wasteful number, since it uses less digits than its factorization.

100121011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173 (or 11160 counting only the distinct ones).

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

Adding to 100121011012 its reverse (210110121001), we get a palindrome (310231132013).

It can be divided in two parts, 1001 and 21011012, that multiplied together give a palindrome (21032023012).

The spelling of 100121011012 in words is "one hundred billion, one hundred twenty-one million, eleven thousand, twelve".