10211211220112 has 160 divisors (see below), whose sum is σ = 24845783339520. Its totient is φ = 3963986288640.

The previous prime is 10211211220109. The next prime is 10211211220183. The reversal of 10211211220112 is 21102211211201.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 16874858 + ... + 17469494.

It is an arithmetic number, because the mean of its divisors is an integer number (155286145872).

Almost surely, 2^{10211211220112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211211220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422891669760).

10211211220112 is an abundant number, since it is smaller than the sum of its proper divisors (14634572119408).

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

10211211220112 is a wasteful number, since it uses less digits than its factorization.

10211211220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595009 (or 595003 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10211211220112 its reverse (21102211211201), we get a palindrome (31313422431313).

The spelling of 10211211220112 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty thousand, one hundred twelve".