10102101000012 has 36 divisors (see below), whose sum is σ = 29183847334096. Its totient is φ = 2886314571360.

The previous prime is 10102100999989. The next prime is 10102101000031. The reversal of 10102101000012 is 21000010120101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10102101000012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102100999958 and 10102101000003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20043850939 + ... + 20043851442.

Almost surely, 2^{10102101000012} is an apocalyptic number.

10102101000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102101000012 is an abundant number, since it is smaller than the sum of its proper divisors (19081746334084).

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

10102101000012 is a wasteful number, since it uses less digits than its factorization.

10102101000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40087702398 (or 40087702393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102101000012 its reverse (21000010120101), we get a palindrome (31102111120113).

The spelling of 10102101000012 in words is "ten trillion, one hundred two billion, one hundred one million, twelve", and thus it is an aban number.