100010101002021 has 72 divisors (see below), whose sum is σ = 169916190214680. Its totient is φ = 56512964100096.

The previous prime is 100010101001983. The next prime is 100010101002041. The reversal of 100010101002021 is 120200101010001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12055902009921 + 87954198992100 = 3472161^2 + 9378390^2 .

It is not a de Polignac number, because 100010101002021 - 2⁶ = 100010101001957 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100010101001994 and 100010101002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010101002041) 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, 51099075 + ... + 53020143.

It is an arithmetic number, because the mean of its divisors is an integer number (2359947086315).

Almost surely, 2^{100010101002021} is an apocalyptic number.

It is an amenable number.

100010101002021 is a deficient number, since it is larger than the sum of its proper divisors (69906089212659).

100010101002021 is a wasteful number, since it uses less digits than its factorization.

100010101002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922403 (or 1922393 counting only the distinct ones).

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

Adding to 100010101002021 its reverse (120200101010001), we get a palindrome (220210202012022).

The spelling of 100010101002021 in words is "one hundred trillion, ten billion, one hundred one million, two thousand, twenty-one".