10120221013101 has 32 divisors (see below), whose sum is σ = 13606694439936. Its totient is φ = 6690391344000.

The previous prime is 10120221013087. The next prime is 10120221013181. The reversal of 10120221013101 is 10131012202101.

It is not a de Polignac number, because 10120221013101 - 2⁶ = 10120221013037 is a prime.

It is a super-2 number, since 2×10120221013101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120221013181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391919656 + ... + 2391923886.

It is an arithmetic number, because the mean of its divisors is an integer number (425209201248).

Almost surely, 2^{10120221013101} is an apocalyptic number.

It is an amenable number.

10120221013101 is a deficient number, since it is larger than the sum of its proper divisors (3486473426835).

10120221013101 is a wasteful number, since it uses less digits than its factorization.

10120221013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10120221013101 its reverse (10131012202101), we get a palindrome (20251233215202).

The spelling of 10120221013101 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, thirteen thousand, one hundred one".