102122002000 has 80 divisors (see below), whose sum is σ = 247506015744. Its totient is φ = 40753680000.

The previous prime is 102122001967. The next prime is 102122002007. The reversal of 102122002000 is 200221201.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122002007) 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, 802765 + ... + 921235.

Almost surely, 2^102122002000 is an apocalyptic number.

102122002000 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 102122002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123753007872).

102122002000 is an abundant number, since it is smaller than the sum of its proper divisors (145384013744).

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

102122002000 is a wasteful number, since it uses less digits than its factorization.

102122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118925 (or 118909 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102122002000 its reverse (200221201), we get a palindrome (102322223201).

The spelling of 102122002000 in words is "one hundred two billion, one hundred twenty-two million, two thousand".