101021030001 has 24 divisors (see below), whose sum is σ = 150131141160. Its totient is φ = 65417760000.

The previous prime is 101021029933. The next prime is 101021030003. The reversal of 101021030001 is 100030120101.

It can be written as a sum of positive squares in 4 ways, for example, as 29868134976 + 71152895025 = 172824^2 + 266745^2 .

It is not a de Polignac number, because 101021030001 - 2⁷ = 101021029873 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101021030003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513250 + ... + 682251.

It is an arithmetic number, because the mean of its divisors is an integer number (6255464215).

Almost surely, 2^101021030001 is an apocalyptic number.

It is an amenable number.

101021030001 is a deficient number, since it is larger than the sum of its proper divisors (49110111159).

101021030001 is a wasteful number, since it uses less digits than its factorization.

101021030001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195777 (or 1195774 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101021030001 its reverse (100030120101), we get a palindrome (201051150102).

The spelling of 101021030001 in words is "one hundred one billion, twenty-one million, thirty thousand, one".