221010101002000 has 80 divisors (see below), whose sum is σ = 534413101622400. Its totient is φ = 88402274083200.

The previous prime is 221010101001997. The next prime is 221010101002021. The reversal of 221010101002000 is 200101010122.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101399671 + ... + 103556329.

It is an arithmetic number, because the mean of its divisors is an integer number (6680163770280).

Almost surely, 2^{221010101002000} is an apocalyptic number.

221010101002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010101002000 is an abundant number, since it is smaller than the sum of its proper divisors (313403000620400).

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

221010101002000 is a wasteful number, since it uses less digits than its factorization.

221010101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207921 (or 2207905 counting only the distinct ones).

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

Adding to 221010101002000 its reverse (200101010122), we get a palindrome (221210202012122).

The spelling of 221010101002000 in words is "two hundred twenty-one trillion, ten billion, one hundred one million, two thousand".