101222101010100 has 72 divisors (see below), whose sum is σ = 334707747347008. Its totient is φ = 23136480230400.

The previous prime is 101222101010027. The next prime is 101222101010101. The reversal of 101222101010100 is 1010101222101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222101010101) 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, 24100498141 + ... + 24100502340.

Almost surely, 2^{101222101010100} is an apocalyptic number.

101222101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222101010100 is an abundant number, since it is smaller than the sum of its proper divisors (233485646336908).

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

101222101010100 is a wasteful number, since it uses less digits than its factorization.

101222101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48201000505 (or 48201000498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101222101010100 its reverse (1010101222101), we get a palindrome (102232202232201).

The spelling of 101222101010100 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred one million, ten thousand, one hundred".