10220210222112 has 144 divisors (see below), whose sum is σ = 31779107444448. Its totient is φ = 3089880483840.

The previous prime is 10220210222051. The next prime is 10220210222141. The reversal of 10220210222112 is 21122201202201.

It is a happy number.

10220210222112 is a `hidden beast` number, since 1 + 0 + 220 + 210 + 2 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2353518 + ... + 5097005.

It is an arithmetic number, because the mean of its divisors is an integer number (220688246142).

Almost surely, 2^{10220210222112} is an apocalyptic number.

10220210222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220210222112 is an abundant number, since it is smaller than the sum of its proper divisors (21558897222336).

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

10220210222112 is a wasteful number, since it uses less digits than its factorization.

10220210222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450983 (or 7450972 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10220210222112 its reverse (21122201202201), we get a palindrome (31342411424313).

The spelling of 10220210222112 in words is "ten trillion, two hundred twenty billion, two hundred ten million, two hundred twenty-two thousand, one hundred twelve".