102101022102000 has 160 divisors (see below), whose sum is σ = 343485595514880. Its totient is φ = 26043159225600.

The previous prime is 102101022101993. The next prime is 102101022102077. The reversal of 102101022102000 is 201220101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369793240 + ... + 370069239.

It is an arithmetic number, because the mean of its divisors is an integer number (2146784971968).

Almost surely, 2^{102101022102000} is an apocalyptic number.

102101022102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101022102000 is an abundant number, since it is smaller than the sum of its proper divisors (241384573412880).

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

102101022102000 is a wasteful number, since it uses less digits than its factorization.

102101022102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739862528 (or 739862512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101022102000 its reverse (201220101201), we get a palindrome (102302242203201).

The spelling of 102101022102000 in words is "one hundred two trillion, one hundred one billion, twenty-two million, one hundred two thousand".