10102000101102 has 96 divisors (see below), whose sum is σ = 26939449467840. Its totient is φ = 2664186370560.

The previous prime is 10102000101101. The next prime is 10102000101113. The reversal of 10102000101102 is 20110100020101.

It is a happy number.

It is a super-2 number, since 2×10102000101102² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102000101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76082652 + ... + 76215312.

It is an arithmetic number, because the mean of its divisors is an integer number (280619265290).

Almost surely, 2^{10102000101102} is an apocalyptic number.

10102000101102 is an abundant number, since it is smaller than the sum of its proper divisors (16837449366738).

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

10102000101102 is a wasteful number, since it uses less digits than its factorization.

10102000101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179178 (or 179175 counting only the distinct ones).

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

Adding to 10102000101102 its reverse (20110100020101), we get a palindrome (30212100121203).

The spelling of 10102000101102 in words is "ten trillion, one hundred two billion, one hundred one thousand, one hundred two".