102001210121112 has 128 divisors (see below), whose sum is σ = 261364252331520. Its totient is φ = 33162734592000.

The previous prime is 102001210121087. The next prime is 102001210121117. The reversal of 102001210121112 is 211121012100201.

It is a happy number.

It is a super-2 number, since 2×102001210121112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001210121091 and 102001210121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001210121117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87293287 + ... + 88454057.

It is an arithmetic number, because the mean of its divisors is an integer number (2041908221340).

Almost surely, 2^{102001210121112} is an apocalyptic number.

102001210121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001210121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130682126165760).

102001210121112 is an abundant number, since it is smaller than the sum of its proper divisors (159363042210408).

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

102001210121112 is a wasteful number, since it uses less digits than its factorization.

102001210121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161345 (or 1161341 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102001210121112 its reverse (211121012100201), we get a palindrome (313122222221313).

The spelling of 102001210121112 in words is "one hundred two trillion, one billion, two hundred ten million, one hundred twenty-one thousand, one hundred twelve".