10100110021200 has 180 divisors, whose sum is σ = 35377760553408. Its totient is φ = 2668190956800.

The previous prime is 10100110021193. The next prime is 10100110021217. The reversal of 10100110021200 is 212001100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12725016 + ... + 13495415.

Almost surely, 2^{10100110021200} is an apocalyptic number.

10100110021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100110021200 is an abundant number, since it is smaller than the sum of its proper divisors (25277650532208).

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

10100110021200 is a wasteful number, since it uses less digits than its factorization.

10100110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26220562 (or 26220548 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100110021200 its reverse (212001100101), we get a palindrome (10312111121301).

The spelling of 10100110021200 in words is "ten trillion, one hundred billion, one hundred ten million, twenty-one thousand, two hundred".