102010201101100 has 72 divisors (see below), whose sum is σ = 223558574929200. Its totient is φ = 40399224096000.

The previous prime is 102010201101041. The next prime is 102010201101103. The reversal of 102010201101100 is 1101102010201.

It is a super-2 number, since 2×102010201101100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102010201101103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710756146 + ... + 710899654.

It is an arithmetic number, because the mean of its divisors is an integer number (3104980207350).

Almost surely, 2^{102010201101100} is an apocalyptic number.

102010201101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010201101100 is an abundant number, since it is smaller than the sum of its proper divisors (121548373828100).

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

102010201101100 is a wasteful number, since it uses less digits than its factorization.

102010201101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214003 (or 213996 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102010201101100 its reverse (1101102010201), we get a palindrome (103111303111301).

The spelling of 102010201101100 in words is "one hundred two trillion, ten billion, two hundred one million, one hundred one thousand, one hundred".