101021001021 has 6 divisors (see below), whose sum is σ = 145919223710. Its totient is φ = 67347334008.

The previous prime is 101021001013. The next prime is 101021001023. The reversal of 101021001021 is 120100120101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70601804100 + 30419196921 = 265710^2 + 174411^2 .

It is not a de Polignac number, because 101021001021 - 2³ = 101021001013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11224555669 = 101021001021 / (1 + 0 + 1 + 0 + 2 + 1 + 0 + 0 + 1 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021000994 and 101021001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021001023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5612277826 + ... + 5612277843.

Almost surely, 2^101021001021 is an apocalyptic number.

It is an amenable number.

101021001021 is a deficient number, since it is larger than the sum of its proper divisors (44898222689).

101021001021 is a wasteful number, since it uses less digits than its factorization.

101021001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224555675 (or 11224555672 counting only the distinct ones).

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

Adding to 101021001021 its reverse (120100120101), we get a palindrome (221121121122).

The spelling of 101021001021 in words is "one hundred one billion, twenty-one million, one thousand, twenty-one".