102021001011013 has 64 divisors (see below), whose sum is σ = 135118180712448. Its totient is φ = 74966878356480.

The previous prime is 102021001010983. The next prime is 102021001011029. The reversal of 102021001011013 is 310110100120201.

It is a happy number.

It is not a de Polignac number, because 102021001011013 - 2⁹ = 102021001010501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102021001010984 and 102021001011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021001011073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5957653 + ... + 15476938.

It is an arithmetic number, because the mean of its divisors is an integer number (2111221573632).

Almost surely, 2^{102021001011013} is an apocalyptic number.

It is an amenable number.

102021001011013 is a deficient number, since it is larger than the sum of its proper divisors (33097179701435).

102021001011013 is a wasteful number, since it uses less digits than its factorization.

102021001011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21434722.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102021001011013 its reverse (310110100120201), we get a palindrome (412131101131214).

The spelling of 102021001011013 in words is "one hundred two trillion, twenty-one billion, one million, eleven thousand, thirteen".