102101210001000 has 192 divisors, whose sum is σ = 394402388590080. Its totient is φ = 23337419414400.

The previous prime is 102101210000989. The next prime is 102101210001001. The reversal of 102101210001000 is 100012101201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (102101210001001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810264064 + ... + 810390063.

It is an arithmetic number, because the mean of its divisors is an integer number (2054179107240).

Almost surely, 2^{102101210001000} is an apocalyptic number.

102101210001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101210001000 is an abundant number, since it is smaller than the sum of its proper divisors (292301178589080).

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

102101210001000 is a wasteful number, since it uses less digits than its factorization.

102101210001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620654161 (or 1620654144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102101210001000 its reverse (100012101201), we get a palindrome (102201222102201).

The spelling of 102101210001000 in words is "one hundred two trillion, one hundred one billion, two hundred ten million, one thousand".