101021021 has 8 divisors (see below), whose sum is σ = 108982584. Its totient is φ = 93283840.

The previous prime is 101021003. The next prime is 101021027. The reversal of 101021021 is 120120101.

It can be written as a sum of positive squares in 4 ways, for example, as 12924025 + 88096996 = 3595^2 + 9386^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101021021 is a prime.

It is a super-3 number, since 3×101021021³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55160 + ... + 56961.

It is an arithmetic number, because the mean of its divisors is an integer number (13622823).

Almost surely, 2^101021021 is an apocalyptic number.

It is an amenable number.

101021021 is a deficient number, since it is larger than the sum of its proper divisors (7961563).

101021021 is a wasteful number, since it uses less digits than its factorization.

101021021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112191.

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

The square root of 101021021 is about 10050.9214005483. The cubic root of 101021021 is about 465.7332571190.

Adding to 101021021 its reverse (120120101), we get a palindrome (221141122).

The spelling of 101021021 in words is "one hundred one million, twenty-one thousand, twenty-one".