102111112101000 has 128 divisors (see below), whose sum is σ = 318590422076160. Its totient is φ = 27229309184000.

The previous prime is 102111112100999. The next prime is 102111112101017. The reversal of 102111112101000 is 101211111201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366103597 + ... + 366382403.

It is an arithmetic number, because the mean of its divisors is an integer number (2488987672470).

Almost surely, 2^{102111112101000} is an apocalyptic number.

102111112101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111112101000 is an abundant number, since it is smaller than the sum of its proper divisors (216479309975160).

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

102111112101000 is a wasteful number, since it uses less digits than its factorization.

102111112101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400912 (or 400898 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102111112101000 its reverse (101211111201), we get a palindrome (102212323212201).

The spelling of 102111112101000 in words is "one hundred two trillion, one hundred eleven billion, one hundred twelve million, one hundred one thousand".