101002121021021 has 12 divisors (see below), whose sum is σ = 111030784943232. Its totient is φ = 91810247529000.

The previous prime is 101002121021003. The next prime is 101002121021023. The reversal of 101002121021021 is 120120121200101.

It is not a de Polignac number, because 101002121021021 - 2²⁶ = 101002053912157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002121020987 and 101002121021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002121021023) 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, 43698215 + ... + 45951476.

It is an arithmetic number, because the mean of its divisors is an integer number (9252565411936).

Almost surely, 2^{101002121021021} is an apocalyptic number.

101002121021021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002121021021 is a deficient number, since it is larger than the sum of its proper divisors (10028663922211).

101002121021021 is an equidigital number, since it uses as much as digits as its factorization.

101002121021021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89659024 (or 89659013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101002121021021 its reverse (120120121200101), we get a palindrome (221122242221122).

The spelling of 101002121021021 in words is "one hundred one trillion, two billion, one hundred twenty-one million, twenty-one thousand, twenty-one".