213121101023112 has 256 divisors, whose sum is σ = 579955215974400. Its totient is φ = 65015906135040.

The previous prime is 213121101023107. The next prime is 213121101023147. The reversal of 213121101023112 is 211320101121312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28351878778 + ... + 28351886294.

It is an arithmetic number, because the mean of its divisors is an integer number (2265450062400).

Almost surely, 2^{213121101023112} 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 213121101023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289977607987200).

213121101023112 is an abundant number, since it is smaller than the sum of its proper divisors (366834114951288).

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

213121101023112 is a wasteful number, since it uses less digits than its factorization.

213121101023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 10832 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 213121101023112 its reverse (211320101121312), we get a palindrome (424441202144424).

The spelling of 213121101023112 in words is "two hundred thirteen trillion, one hundred twenty-one billion, one hundred one million, twenty-three thousand, one hundred twelve".