102110001000 has 512 divisors, whose sum is σ = 379551744000. Its totient is φ = 22363776000.

The previous prime is 102110000983. The next prime is 102110001013. The reversal of 102110001000 is 100011201.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 102110001000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70958281 + ... + 70959719.

It is an arithmetic number, because the mean of its divisors is an integer number (741312000).

Almost surely, 2^102110001000 is an apocalyptic number.

102110001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189775872000).

102110001000 is an abundant number, since it is smaller than the sum of its proper divisors (277441743000).

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

102110001000 is a wasteful number, since it uses less digits than its factorization.

102110001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 102110001000 its reverse (100011201), we get a palindrome (102210012201).

The spelling of 102110001000 in words is "one hundred two billion, one hundred ten million, one thousand".