101022210210112 has 56 divisors (see below), whose sum is σ = 212927647518504. Its totient is φ = 47389895442432.

The previous prime is 101022210210083. The next prime is 101022210210113. The reversal of 101022210210112 is 211012012220101.

It can be written as a sum of positive squares in 4 ways, for example, as 14201260623936 + 86820949586176 = 3768456^2 + 9317776^2 .

It is a super-4 number, since 4×101022210210112⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022210210113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146108253 + ... + 146798044.

Almost surely, 2^{101022210210112} is an apocalyptic number.

It is an amenable number.

101022210210112 is an abundant number, since it is smaller than the sum of its proper divisors (111905437308392).

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

101022210210112 is a wasteful number, since it uses less digits than its factorization.

101022210210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292906643 (or 292906633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101022210210112 its reverse (211012012220101), we get a palindrome (312034222430213).

The spelling of 101022210210112 in words is "one hundred one trillion, twenty-two billion, two hundred ten million, two hundred ten thousand, one hundred twelve".