102120110010000 has 150 divisors (see below), whose sum is σ = 357128775702270. Its totient is φ = 27232029312000.

The previous prime is 102120110009993. The next prime is 102120110010203. The reversal of 102120110010000 is 10011021201.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 67868400579984 + 34251709430016 = 8238228^2 + 5852496^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 567243945 + ... + 567423944.

Almost surely, 2^{102120110010000} is an apocalyptic number.

102120110010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120110010000 is an abundant number, since it is smaller than the sum of its proper divisors (255008665692270).

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

102120110010000 is a wasteful number, since it uses less digits than its factorization.

102120110010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134667923 (or 1134667899 counting only the distinct ones).

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

Adding to 102120110010000 its reverse (10011021201), we get a palindrome (102130121031201).

The spelling of 102120110010000 in words is "one hundred two trillion, one hundred twenty billion, one hundred ten million, ten thousand".