102120001200000 has 1152 divisors, whose sum is σ = 422138231424000. Its totient is φ = 23210288640000.

The previous prime is 102120001199987. The next prime is 102120001200029. The reversal of 102120001200000 is 2100021201.

It is a tau number, because it is divible by the number of its divisors (1152).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4510788681 + ... + 4510811319.

It is an arithmetic number, because the mean of its divisors is an integer number (366439437000).

Almost surely, 2^{102120001200000} is an apocalyptic number.

102120001200000 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 102120001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211069115712000).

102120001200000 is an abundant number, since it is smaller than the sum of its proper divisors (320018230224000).

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

102120001200000 is an equidigital number, since it uses as much as digits as its factorization.

102120001200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22870 (or 22835 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102120001200000 its reverse (2100021201), we get a palindrome (102122101221201).

The spelling of 102120001200000 in words is "one hundred two trillion, one hundred twenty billion, one million, two hundred thousand".