101122011122202 has 72 divisors (see below), whose sum is σ = 254871246285396. Its totient is φ = 28891719327744.

The previous prime is 101122011122179. The next prime is 101122011122261. The reversal of 101122011122202 is 202221110221101.

It can be written as a sum of positive squares in 2 ways, for example, as 98543125218321 + 2578885903881 = 9926889^2 + 1605891^2 .

It is a super-2 number, since 2×101122011122202² (a number of 29 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 99294328 + ... + 100307564.

Almost surely, 2^{101122011122202} is an apocalyptic number.

101122011122202 is an abundant number, since it is smaller than the sum of its proper divisors (153749235163194).

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

101122011122202 is a wasteful number, since it uses less digits than its factorization.

101122011122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126412 (or 1126402 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122011122202 its reverse (202221110221101), we get a palindrome (303343121343303).

The spelling of 101122011122202 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, two hundred two".