102001101000 has 128 divisors (see below), whose sum is σ = 334993276800. Its totient is φ = 25768684800.

The previous prime is 102001100969. The next prime is 102001101001. The reversal of 102001101000 is 101100201.

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 102001101000.

It is not an unprimeable number, because it can be changed into a prime (102001101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837747 + ... + 951746.

It is an arithmetic number, because the mean of its divisors is an integer number (2617134975).

Almost surely, 2^102001101000 is an apocalyptic number.

102001101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001101000 is an abundant number, since it is smaller than the sum of its proper divisors (232992175800).

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

102001101000 is a wasteful number, since it uses less digits than its factorization.

102001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789536 (or 1789522 counting only the distinct ones).

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

Adding to 102001101000 its reverse (101100201), we get a palindrome (102102201201).

The spelling of 102001101000 in words is "one hundred two billion, one million, one hundred one thousand".