101222121010100 has 36 divisors (see below), whose sum is σ = 219654351096768. Its totient is φ = 40488415500000.

The previous prime is 101222121010079. The next prime is 101222121010181. The reversal of 101222121010100 is 1010121222101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4070975 + ... + 14799225.

It is an arithmetic number, because the mean of its divisors is an integer number (6101509752688).

Almost surely, 2^{101222121010100} is an apocalyptic number.

101222121010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222121010100 is an abundant number, since it is smaller than the sum of its proper divisors (118432230086668).

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

101222121010100 is a wasteful number, since it uses less digits than its factorization.

101222121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10822616 (or 10822609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101222121010100 its reverse (1010121222101), we get a palindrome (102232242232201).

The spelling of 101222121010100 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-one million, ten thousand, one hundred".