102211101022120 has 128 divisors (see below), whose sum is σ = 235836149387040. Its totient is φ = 39852540149760.

The previous prime is 102211101022087. The next prime is 102211101022141. The reversal of 102211101022120 is 21220101112201.

It can be written as a sum of positive squares in 16 ways, for example, as 29579696993284 + 72631404028836 = 5438722^2 + 8522406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102211101022094 and 102211101022103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3752091700 + ... + 3752118940.

Almost surely, 2^{102211101022120} is an apocalyptic number.

102211101022120 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 102211101022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117918074693520).

102211101022120 is an abundant number, since it is smaller than the sum of its proper divisors (133625048364920).

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

102211101022120 is a wasteful number, since it uses less digits than its factorization.

102211101022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38735 (or 38731 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102211101022120 its reverse (21220101112201), we get a palindrome (123431202134321).

The spelling of 102211101022120 in words is "one hundred two trillion, two hundred eleven billion, one hundred one million, twenty-two thousand, one hundred twenty".