102011111002000 has 80 divisors (see below), whose sum is σ = 246832634526192. Its totient is φ = 40776360345600.

The previous prime is 102011111001991. The next prime is 102011111002013. The reversal of 102011111002000 is 200111110201.

It can be written as a sum of positive squares in 8 ways, for example, as 6906720388096 + 95104390613904 = 2628064^2 + 9752148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14645809 + ... + 20457808.

Almost surely, 2^{102011111002000} is an apocalyptic number.

102011111002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011111002000 is an abundant number, since it is smaller than the sum of its proper divisors (144821523524192).

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

102011111002000 is a wasteful number, since it uses less digits than its factorization.

102011111002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35105093 (or 35105077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102011111002000 its reverse (200111110201), we get a palindrome (102211222112201).

The spelling of 102011111002000 in words is "one hundred two trillion, eleven billion, one hundred eleven million, two thousand".