102101002211112 has 64 divisors (see below), whose sum is σ = 270289009252800. Its totient is φ = 32029120988160.

The previous prime is 102101002211059. The next prime is 102101002211119. The reversal of 102101002211112 is 211112200101201.

It is a happy number.

It is a super-2 number, since 2×102101002211112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101002211091 and 102101002211100.

It is not an unprimeable number, because it can be changed into a prime (102101002211119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4920787 + ... + 15113442.

It is an arithmetic number, because the mean of its divisors is an integer number (4223265769575).

Almost surely, 2^{102101002211112} is an apocalyptic number.

102101002211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101002211112 is an abundant number, since it is smaller than the sum of its proper divisors (168188007041688).

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

102101002211112 is a wasteful number, since it uses less digits than its factorization.

102101002211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20046746 (or 20046742 counting only the distinct ones).

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

Adding to 102101002211112 its reverse (211112200101201), we get a palindrome (313213202312313).

The spelling of 102101002211112 in words is "one hundred two trillion, one hundred one billion, two million, two hundred eleven thousand, one hundred twelve".