20010101102112 has 192 divisors, whose sum is σ = 60806474910720. Its totient is φ = 5701723315200.

The previous prime is 20010101102107. The next prime is 20010101102129. The reversal of 20010101102112 is 21120110101002.

It is a super-2 number, since 2×20010101102112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5548939 + ... + 8414922.

It is an arithmetic number, because the mean of its divisors is an integer number (316700390160).

Almost surely, 2^{20010101102112} is an apocalyptic number.

20010101102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20010101102112 is an abundant number, since it is smaller than the sum of its proper divisors (40796373808608).

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

20010101102112 is a wasteful number, since it uses less digits than its factorization.

20010101102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963967 (or 13963959 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20010101102112 its reverse (21120110101002), we get a palindrome (41130211203114).

The spelling of 20010101102112 in words is "twenty trillion, ten billion, one hundred one million, one hundred two thousand, one hundred twelve".