10100211022000 has 80 divisors (see below), whose sum is σ = 26642520332064. Its totient is φ = 3672804000000.

The previous prime is 10100211021983. The next prime is 10100211022003. The reversal of 10100211022000 is 22011200101.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (10100211022003) 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, 229528251 + ... + 229572250.

Almost surely, 2^{10100211022000} is an apocalyptic number.

10100211022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100211022000 is an abundant number, since it is smaller than the sum of its proper divisors (16542309310064).

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

10100211022000 is a wasteful number, since it uses less digits than its factorization.

10100211022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459100535 (or 459100519 counting only the distinct ones).

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

Adding to 10100211022000 its reverse (22011200101), we get a palindrome (10122222222101).

The spelling of 10100211022000 in words is "ten trillion, one hundred billion, two hundred eleven million, twenty-two thousand".