102122012011000 has 64 divisors (see below), whose sum is σ = 239631151032000. Its totient is φ = 40735019689600.

The previous prime is 102122012010983. The next prime is 102122012011007. The reversal of 102122012011000 is 110210221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122012011007) 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, 141872215 + ... + 142590214.

It is an arithmetic number, because the mean of its divisors is an integer number (3744236734875).

Almost surely, 2^{102122012011000} is an apocalyptic number.

102122012011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122012011000 is an abundant number, since it is smaller than the sum of its proper divisors (137509139021000).

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

102122012011000 is a wasteful number, since it uses less digits than its factorization.

102122012011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284462809 (or 284462795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102122012011000 its reverse (110210221201), we get a palindrome (102232222232201).

The spelling of 102122012011000 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, eleven thousand".