10112120101220 has 96 divisors (see below), whose sum is σ = 22178618864640. Its totient is φ = 3868317573120.

The previous prime is 10112120101183. The next prime is 10112120101229. The reversal of 10112120101220 is 2210102121101.

It is a junction number, because it is equal to n+sod(n) for n = 10112120101195 and 10112120101204.

It is not an unprimeable number, because it can be changed into a prime (10112120101229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105180212 + ... + 105276308.

It is an arithmetic number, because the mean of its divisors is an integer number (231027279840).

Almost surely, 2^{10112120101220} is an apocalyptic number.

10112120101220 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 10112120101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089309432320).

10112120101220 is an abundant number, since it is smaller than the sum of its proper divisors (12066498763420).

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

10112120101220 is a wasteful number, since it uses less digits than its factorization.

10112120101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98133 (or 98131 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112120101220 its reverse (2210102121101), we get a palindrome (12322222222321).

The spelling of 10112120101220 in words is "ten trillion, one hundred twelve billion, one hundred twenty million, one hundred one thousand, two hundred twenty".