10101222110100 has 144 divisors (see below), whose sum is σ = 32198805769536. Its totient is φ = 2424535680000.

The previous prime is 10101222110029. The next prime is 10101222110123. The reversal of 10101222110100 is 101122210101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14820049 + ... + 15486648.

It is an arithmetic number, because the mean of its divisors is an integer number (223602817844).

Almost surely, 2^{10101222110100} is an apocalyptic number.

10101222110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101222110100 is an abundant number, since it is smaller than the sum of its proper divisors (22097583659436).

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

10101222110100 is a wasteful number, since it uses less digits than its factorization.

10101222110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30306826 (or 30306819 counting only the distinct ones).

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

Adding to 10101222110100 its reverse (101122210101), we get a palindrome (10202344320201).

The spelling of 10101222110100 in words is "ten trillion, one hundred one billion, two hundred twenty-two million, one hundred ten thousand, one hundred".