102120001001000 has 128 divisors (see below), whose sum is σ = 240237192967200. Its totient is φ = 40630160332800.

The previous prime is 102120001000957. The next prime is 102120001001009. The reversal of 102120001001000 is 100100021201.

It can be written as a sum of positive squares in 16 ways, for example, as 23295044332036 + 78824956668964 = 4826494^2 + 8878342^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102120001001009) 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, 236341154 + ... + 236772846.

Almost surely, 2^{102120001001000} is an apocalyptic number.

102120001001000 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 102120001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120118596483600).

102120001001000 is an abundant number, since it is smaller than the sum of its proper divisors (138117191966200).

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

102120001001000 is a wasteful number, since it uses less digits than its factorization.

102120001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432976 (or 432962 counting only the distinct ones).

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

Adding to 102120001001000 its reverse (100100021201), we get a palindrome (102220101022201).

The spelling of 102120001001000 in words is "one hundred two trillion, one hundred twenty billion, one million, one thousand".