10101122112100 has 72 divisors (see below), whose sum is σ = 23074027855200. Its totient is φ = 3827637964800.

The previous prime is 10101122112073. The next prime is 10101122112127. The reversal of 10101122112100 is 121122110101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10101122112073) and next prime (10101122112127).

It is a super-3 number, since 3×10101122112100³ (a number of 40 digits) contains 333 as substring.

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, 53655135 + ... + 53843065.

It is an arithmetic number, because the mean of its divisors is an integer number (320472609100).

Almost surely, 2^{10101122112100} is an apocalyptic number.

10101122112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101122112100 is an abundant number, since it is smaller than the sum of its proper divisors (12972905743100).

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

10101122112100 is a wasteful number, since it uses less digits than its factorization.

10101122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216253 (or 216246 counting only the distinct ones).

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

Adding to 10101122112100 its reverse (121122110101), we get a palindrome (10222244222201).

The spelling of 10101122112100 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".