101021220013 has 16 divisors (see below), whose sum is σ = 116425975680. Its totient is φ = 85861281600.

The previous prime is 101021219993. The next prime is 101021220037. The reversal of 101021220013 is 310022120101.

It is a cyclic number.

It is not a de Polignac number, because 101021220013 - 2¹³ = 101021211821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101021219975 and 101021220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021220613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735603 + ... + 862063.

It is an arithmetic number, because the mean of its divisors is an integer number (7276623480).

Almost surely, 2^101021220013 is an apocalyptic number.

It is an amenable number.

101021220013 is a deficient number, since it is larger than the sum of its proper divisors (15404755667).

101021220013 is a wasteful number, since it uses less digits than its factorization.

101021220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127428.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101021220013 its reverse (310022120101), we get a palindrome (411043340114).

It can be divided in two parts, 1010212 and 20013, that added together give a square (1030225 = 1015²).

The spelling of 101021220013 in words is "one hundred one billion, twenty-one million, two hundred twenty thousand, thirteen".