102120011000 has 64 divisors (see below), whose sum is σ = 273098105280. Its totient is φ = 35012572800.

The previous prime is 102120010963. The next prime is 102120011003. The reversal of 102120011000 is 110021201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7287287 + ... + 7301286.

It is an arithmetic number, because the mean of its divisors is an integer number (4267157895).

Almost surely, 2^102120011000 is an apocalyptic number.

102120011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120011000 is an abundant number, since it is smaller than the sum of its proper divisors (170978094280).

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

102120011000 is a wasteful number, since it uses less digits than its factorization.

102120011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14588601 (or 14588587 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102120011000 its reverse (110021201), we get a palindrome (102230032201).

The spelling of 102120011000 in words is "one hundred two billion, one hundred twenty million, eleven thousand".