100401200400220 has 48 divisors (see below), whose sum is σ = 211404897708480. Its totient is φ = 40053404312064.

The previous prime is 100401200400211. The next prime is 100401200400229. The reversal of 100401200400220 is 22004002104001.

It is an interprime number because it is at equal distance from previous prime (100401200400211) and next prime (100401200400229).

It is a junction number, because it is equal to n+sod(n) for n = 100401200400194 and 100401200400203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100401200400229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35590417 + ... + 38307703.

It is an arithmetic number, because the mean of its divisors is an integer number (4404268702260).

Almost surely, 2^{100401200400220} is an apocalyptic number.

100401200400220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100401200400220 is an abundant number, since it is smaller than the sum of its proper divisors (111003697308260).

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

100401200400220 is a wasteful number, since it uses less digits than its factorization.

100401200400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722222 (or 2722220 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100401200400220 its reverse (22004002104001), we get a palindrome (122405202504221).

The spelling of 100401200400220 in words is "one hundred trillion, four hundred one billion, two hundred million, four hundred thousand, two hundred twenty".