101220002210100 has 144 divisors (see below), whose sum is σ = 299179238803200. Its totient is φ = 26410203832320.

The previous prime is 101220002209993. The next prime is 101220002210167. The reversal of 101220002210100 is 1012200022101.

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, 48741796 + ... + 50776004.

It is an arithmetic number, because the mean of its divisors is an integer number (2077633602800).

Almost surely, 2^{101220002210100} is an apocalyptic number.

101220002210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220002210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149589619401600).

101220002210100 is an abundant number, since it is smaller than the sum of its proper divisors (197959236593100).

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

101220002210100 is a wasteful number, since it uses less digits than its factorization.

101220002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037802 (or 2037795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101220002210100 its reverse (1012200022101), we get a palindrome (102232202232201).

101220002210100 divided by its reverse (1012200022101) gives a square (100 = 10²).

The spelling of 101220002210100 in words is "one hundred one trillion, two hundred twenty billion, two million, two hundred ten thousand, one hundred".