101021002121 has 12 divisors (see below), whose sum is σ = 112057652700. Its totient is φ = 90975755520.

The previous prime is 101021002111. The next prime is 101021002123. The reversal of 101021002121 is 121200120101.

It can be written as a sum of positive squares in 6 ways, for example, as 71182240000 + 29838762121 = 266800^2 + 172739^2 .

It is not a de Polignac number, because 101021002121 - 2¹⁸ = 101020739977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021002123) 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, 7282796 + ... + 7296653.

It is an arithmetic number, because the mean of its divisors is an integer number (9338137725).

Almost surely, 2^101021002121 is an apocalyptic number.

It is an amenable number.

101021002121 is a deficient number, since it is larger than the sum of its proper divisors (11036650579).

101021002121 is a wasteful number, since it uses less digits than its factorization.

101021002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14579516 (or 14579503 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101021002121 its reverse (121200120101), we get a palindrome (222221122222).

The spelling of 101021002121 in words is "one hundred one billion, twenty-one million, two thousand, one hundred twenty-one".