1001100210021 has 12 divisors (see below), whose sum is σ = 1485115627372. Its totient is φ = 649362298176.

The previous prime is 1001100209983. The next prime is 1001100210023. The reversal of 1001100210021 is 1200120011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 947410222500 + 53689987521 = 973350^2 + 231711^2 .

It is not a de Polignac number, because 1001100210021 - 2⁶ = 1001100209957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001100209985 and 1001100210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100210023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1503153136 + ... + 1503153801.

Almost surely, 2^{1001100210021} is an apocalyptic number.

It is an amenable number.

1001100210021 is a deficient number, since it is larger than the sum of its proper divisors (484015417351).

1001100210021 is a wasteful number, since it uses less digits than its factorization.

1001100210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006306980 (or 3006306977 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001100210021 its reverse (1200120011001), we get a palindrome (2201220221022).

It can be divided in two parts, 1001100 and 210021, that added together give a palindrome (1211121).

The spelling of 1001100210021 in words is "one trillion, one billion, one hundred million, two hundred ten thousand, twenty-one".