102102210101100 has 72 divisors (see below), whose sum is σ = 322271703165888. Its totient is φ = 24752050932800.

The previous prime is 102102210101081. The next prime is 102102210101117. The reversal of 102102210101100 is 1101012201201.

It is a super-2 number, since 2×102102210101100² (a number of 29 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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15470028534 + ... + 15470035133.

It is an arithmetic number, because the mean of its divisors is an integer number (4475995877304).

Almost surely, 2^{102102210101100} is an apocalyptic number.

102102210101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102210101100 is an abundant number, since it is smaller than the sum of its proper divisors (220169493064788).

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

102102210101100 is a wasteful number, since it uses less digits than its factorization.

102102210101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30940063695 (or 30940063688 counting only the distinct ones).

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

Adding to 102102210101100 its reverse (1101012201201), we get a palindrome (103203222302301).

The spelling of 102102210101100 in words is "one hundred two trillion, one hundred two billion, two hundred ten million, one hundred one thousand, one hundred".