100120021001 has 72 divisors (see below), whose sum is σ = 137295676224. Its totient is φ = 70509450240.

The previous prime is 100120020997. The next prime is 100120021009.

100120021001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100120021001 - 2² = 100120020997 is a prime.

It is a super-3 number, since 3×100120021001³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100120021001.

It is not an unprimeable number, because it can be changed into a prime (100120021009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730803005 + ... + 730803141.

It is an arithmetic number, because the mean of its divisors is an integer number (1906884392).

Almost surely, 2^100120021001 is an apocalyptic number.

100120021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120021001 is a deficient number, since it is larger than the sum of its proper divisors (37175655223).

100120021001 is an equidigital number, since it uses as much as digits as its factorization.

100120021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 241 counting only the distinct ones).

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

It can be divided in two parts, 1001200 and 21001, that added together give a palindrome (1022201).

The spelling of 100120021001 in words is "one hundred billion, one hundred twenty million, twenty-one thousand, one".