102211000011120 has 3840 divisors, whose sum is σ = 470121774280704. Its totient is φ = 17677025280000.

The previous prime is 102211000011089. The next prime is 102211000011179. The reversal of 102211000011120 is 21110000112201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102211000011096 and 102211000011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 564701657430 + ... + 564701657610.

Almost surely, 2^{102211000011120} is an apocalyptic number.

102211000011120 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 102211000011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235060887140352).

102211000011120 is an abundant number, since it is smaller than the sum of its proper divisors (367910774269584).

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

102211000011120 is a wasteful number, since it uses less digits than its factorization.

102211000011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102211000011120 its reverse (21110000112201), we get a palindrome (123321000123321).

The spelling of 102211000011120 in words is "one hundred two trillion, two hundred eleven billion, eleven thousand, one hundred twenty".