102012000211120 has 80 divisors (see below), whose sum is σ = 239606611463232. Its totient is φ = 40387374259200.

The previous prime is 102012000211109. The next prime is 102012000211123. The reversal of 102012000211120 is 21112000210201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 102012000211120.

It is not an unprimeable number, because it can be changed into a prime (102012000211123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12408034 + ... + 18920446.

Almost surely, 2^{102012000211120} is an apocalyptic number.

102012000211120 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 102012000211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119803305731616).

102012000211120 is an abundant number, since it is smaller than the sum of its proper divisors (137594611252112).

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

102012000211120 is a wasteful number, since it uses less digits than its factorization.

102012000211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514430 (or 6514424 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102012000211120 its reverse (21112000210201), we get a palindrome (123124000421321).

The spelling of 102012000211120 in words is "one hundred two trillion, twelve billion, two hundred eleven thousand, one hundred twenty".