102101001011100 has 216 divisors, whose sum is σ = 393882973105440. Its totient is φ = 21542189207040.

The previous prime is 102101001011089. The next prime is 102101001011117. The reversal of 102101001011100 is 1110100101201.

It is a super-2 number, since 2×102101001011100² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 623245335 + ... + 623409134.

Almost surely, 2^{102101001011100} is an apocalyptic number.

102101001011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101001011100 is an abundant number, since it is smaller than the sum of its proper divisors (291781972094340).

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

102101001011100 is a wasteful number, since it uses less digits than its factorization.

102101001011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246654509 (or 1246654499 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102101001011100 its reverse (1110100101201), we get a palindrome (103211101112301).

It can be divided in two parts, 10210100101 and 1100, that added together give a palindrome (10210101201).

The spelling of 102101001011100 in words is "one hundred two trillion, one hundred one billion, one million, eleven thousand, one hundred".