10211220110112 has 192 divisors, whose sum is σ = 32022974398464. Its totient is φ = 2785631523840.

The previous prime is 10211220110057. The next prime is 10211220110123. The reversal of 10211220110112 is 21101102211201.

It is a happy number.

It is a super-2 number, since 2×10211220110112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10211220110091 and 10211220110100.

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, 8015937 + ... + 9202047.

It is an arithmetic number, because the mean of its divisors is an integer number (166786324992).

Almost surely, 2^{10211220110112} is an apocalyptic number.

10211220110112 is a gapful number since it is divisible by the number (12) 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 10211220110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16011487199232).

10211220110112 is an abundant number, since it is smaller than the sum of its proper divisors (21811754288352).

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

10211220110112 is a wasteful number, since it uses less digits than its factorization.

10211220110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186711 (or 1186703 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10211220110112 its reverse (21101102211201), we get a palindrome (31312322321313).

The spelling of 10211220110112 in words is "ten trillion, two hundred eleven billion, two hundred twenty million, one hundred ten thousand, one hundred twelve".