101212220022100 has 72 divisors (see below), whose sum is σ = 253690865120448. Its totient is φ = 34639476364800.

The previous prime is 101212220022077. The next prime is 101212220022101. The reversal of 101212220022100 is 1220022212101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212220022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2706190392 + ... + 2706227791.

It is an arithmetic number, because the mean of its divisors is an integer number (3523484237784).

Almost surely, 2^{101212220022100} is an apocalyptic number.

101212220022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212220022100 is an abundant number, since it is smaller than the sum of its proper divisors (152478645098348).

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

101212220022100 is a wasteful number, since it uses less digits than its factorization.

101212220022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412418225 (or 5412418218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101212220022100 its reverse (1220022212101), we get a palindrome (102432242234201).

The spelling of 101212220022100 in words is "one hundred one trillion, two hundred twelve billion, two hundred twenty million, twenty-two thousand, one hundred".