102001111120000 has 160 divisors (see below), whose sum is σ = 268862182358220. Its totient is φ = 38400417792000.

The previous prime is 102001111119991. The next prime is 102001111120021. The reversal of 102001111120000 is 21111100201.

It can be written as a sum of positive squares in 10 ways, for example, as 1494711637056 + 100506399482944 = 1222584^2 + 10025288^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36140409 + ... + 38860408.

Almost surely, 2^{102001111120000} is an apocalyptic number.

102001111120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001111120000 is an abundant number, since it is smaller than the sum of its proper divisors (166861071238220).

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

102001111120000 is an frugal number, since it uses more digits than its factorization.

102001111120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000868 (or 75000841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102001111120000 its reverse (21111100201), we get a palindrome (102022222220201).

The spelling of 102001111120000 in words is "one hundred two trillion, one billion, one hundred eleven million, one hundred twenty thousand".