10100012210000 has 100 divisors (see below), whose sum is σ = 25740147391200. Its totient is φ = 3827372976000.

The previous prime is 10100012209951. The next prime is 10100012210009. The reversal of 10100012210000 is 1221000101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10100012210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100012210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26388980 + ... + 26768979.

It is an arithmetic number, because the mean of its divisors is an integer number (257401473912).

Almost surely, 2^{10100012210000} is an apocalyptic number.

10100012210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100012210000 is an abundant number, since it is smaller than the sum of its proper divisors (15640135181200).

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

10100012210000 is an equidigital number, since it uses as much as digits as its factorization.

10100012210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53158006 (or 53157985 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100012210000 its reverse (1221000101), we get a palindrome (10101233210101).

The spelling of 10100012210000 in words is "ten trillion, one hundred billion, twelve million, two hundred ten thousand".