10121002111010 has 96 divisors (see below), whose sum is σ = 21459337506432. Its totient is φ = 3426352392960.

The previous prime is 10121002110979. The next prime is 10121002111037. The reversal of 10121002111010 is 1011120012101.

It is a junction number, because it is equal to n+sod(n) for n = 10121002110982 and 10121002111000.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 74398814 + ... + 74534726.

It is an arithmetic number, because the mean of its divisors is an integer number (223534765692).

Almost surely, 2^{10121002111010} is an apocalyptic number.

10121002111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121002111010 is an abundant number, since it is smaller than the sum of its proper divisors (11338335395422).

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

10121002111010 is a wasteful number, since it uses less digits than its factorization.

10121002111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137848 (or 137841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121002111010 its reverse (1011120012101), we get a palindrome (11132122123111).

The spelling of 10121002111010 in words is "ten trillion, one hundred twenty-one billion, two million, one hundred eleven thousand, ten".