10121021112100 has 36 divisors (see below), whose sum is σ = 21968818958548. Its totient is φ = 4047265008000.

The previous prime is 10121021112089. The next prime is 10121021112101. The reversal of 10121021112100 is 121112012101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 85063222336 + 10035957889764 = 291656^2 + 3167958^2 .

It is not an unprimeable number, because it can be changed into a prime (10121021112101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13937091 + ... + 14645290.

Almost surely, 2^{10121021112100} is an apocalyptic number.

10121021112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121021112100 is an abundant number, since it is smaller than the sum of its proper divisors (11847797846448).

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

10121021112100 is a wasteful number, since it uses less digits than its factorization.

10121021112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28585936 (or 28585929 counting only the distinct ones).

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

Adding to 10121021112100 its reverse (121112012101), we get a palindrome (10242133124201).

Subtracting from 10121021112100 its reverse (121112012101), we obtain a palindrome (9999909099999).

The spelling of 10121021112100 in words is "ten trillion, one hundred twenty-one billion, twenty-one million, one hundred twelve thousand, one hundred".