102010000120000 has 280 divisors, whose sum is σ = 289139150854400. Its totient is φ = 34968620160000.

The previous prime is 102010000119977. The next prime is 102010000120013. The reversal of 102010000120000 is 21000010201.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1735690615 + ... + 1735749385.

It is an arithmetic number, because the mean of its divisors is an integer number (1032639824480).

Almost surely, 2^{102010000120000} is an apocalyptic number.

102010000120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144569575427200).

102010000120000 is an abundant number, since it is smaller than the sum of its proper divisors (187129150734400).

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

102010000120000 is an frugal number, since it uses more digits than its factorization.

102010000120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65009 (or 64984 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 102010000120000 its reverse (21000010201), we get a palindrome (102031000130201).

The spelling of 102010000120000 in words is "one hundred two trillion, ten billion, one hundred twenty thousand".