101220201100000 has 144 divisors (see below), whose sum is σ = 254380246497216. Its totient is φ = 39626630080000.

The previous prime is 101220201099961. The next prime is 101220201100049. The reversal of 101220201100000 is 1102022101.

It is a super-2 number, since 2×101220201100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101220201100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6068107 + ... + 15468106.

It is an arithmetic number, because the mean of its divisors is an integer number (1766529489564).

Almost surely, 2^{101220201100000} is an apocalyptic number.

101220201100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220201100000 is an abundant number, since it is smaller than the sum of its proper divisors (153160045397216).

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

101220201100000 is an frugal number, since it uses more digits than its factorization.

101220201100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21536295 (or 21536267 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101220201100000 its reverse (1102022101), we get a palindrome (101221303122101).

The spelling of 101220201100000 in words is "one hundred one trillion, two hundred twenty billion, two hundred one million, one hundred thousand".