102011001000 has 128 divisors (see below), whose sum is σ = 318723724800. Its totient is φ = 27164524800.

The previous prime is 102011000881. The next prime is 102011001017. The reversal of 102011001000 is 100110201.

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 102011001000.

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, 2133354 + ... + 2180646.

It is an arithmetic number, because the mean of its divisors is an integer number (2490029100).

Almost surely, 2^102011001000 is an apocalyptic number.

102011001000 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 102011001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159361862400).

102011001000 is an abundant number, since it is smaller than the sum of its proper divisors (216712723800).

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

102011001000 is a wasteful number, since it uses less digits than its factorization.

102011001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48036 (or 48022 counting only the distinct ones).

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

Adding to 102011001000 its reverse (100110201), we get a palindrome (102111111201).

The spelling of 102011001000 in words is "one hundred two billion, eleven million, one thousand".