10121021100112 has 20 divisors (see below), whose sum is σ = 21117899795860. Its totient is φ = 4671240507648.

The previous prime is 10121021100109. The next prime is 10121021100143. The reversal of 10121021100112 is 21100112012101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 588019046976 + 9533002053136 = 766824^2 + 3087556^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10121021100092 and 10121021100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24329377437 + ... + 24329377852.

It is an arithmetic number, because the mean of its divisors is an integer number (1055894989793).

Almost surely, 2^{10121021100112} is an apocalyptic number.

It is an amenable number.

10121021100112 is an abundant number, since it is smaller than the sum of its proper divisors (10996878695748).

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

10121021100112 is a wasteful number, since it uses less digits than its factorization.

10121021100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48658755310 (or 48658755304 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10121021100112 its reverse (21100112012101), we get a palindrome (31221133112213).

The spelling of 10121021100112 in words is "ten trillion, one hundred twenty-one billion, twenty-one million, one hundred thousand, one hundred twelve".