101033212122 has 12 divisors (see below), whose sum is σ = 218905292970. Its totient is φ = 33677737368.

The previous prime is 101033212121. The next prime is 101033212141. The reversal of 101033212122 is 221212330101.

It can be written as a sum of positive squares in only one way, i.e., 91531056681 + 9502155441 = 302541^2 + 97479^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5612956229 = 101033212122 / (1 + 0 + 1 + 0 + 3 + 3 + 2 + 1 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 101033212095 and 101033212104.

It is not an unprimeable number, because it can be changed into a prime (101033212121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2806478097 + ... + 2806478132.

Almost surely, 2^101033212122 is an apocalyptic number.

101033212122 is an abundant number, since it is smaller than the sum of its proper divisors (117872080848).

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

101033212122 is a wasteful number, since it uses less digits than its factorization.

101033212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612956237 (or 5612956234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101033212122 its reverse (221212330101), we get a palindrome (322245542223).

The spelling of 101033212122 in words is "one hundred one billion, thirty-three million, two hundred twelve thousand, one hundred twenty-two".