10101331022100 has 72 divisors (see below), whose sum is σ = 29226930898368. Its totient is φ = 2693650195200.

The previous prime is 10101331022039. The next prime is 10101331022131. The reversal of 10101331022100 is 122013310101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10101331022100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25737537 + ... + 26127063.

Almost surely, 2^{10101331022100} is an apocalyptic number.

10101331022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101331022100 is an abundant number, since it is smaller than the sum of its proper divisors (19125599876268).

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

10101331022100 is a wasteful number, since it uses less digits than its factorization.

10101331022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475985 (or 475978 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10101331022100 its reverse (122013310101), we get a palindrome (10223344332201).

The spelling of 10101331022100 in words is "ten trillion, one hundred one billion, three hundred thirty-one million, twenty-two thousand, one hundred".