10120333310101 has 32 divisors (see below), whose sum is σ = 11849008343040. Its totient is φ = 8462867587776.

The previous prime is 10120333310069. The next prime is 10120333310107. The reversal of 10120333310101 is 10101333302101.

10120333310101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120333310101 - 2⁵ = 10120333310069 is a prime.

It is a super-2 number, since 2×10120333310101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120333310107) 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, 1481960755 + ... + 1481967583.

It is an arithmetic number, because the mean of its divisors is an integer number (370281510720).

Almost surely, 2^{10120333310101} is an apocalyptic number.

It is an amenable number.

10120333310101 is a deficient number, since it is larger than the sum of its proper divisors (1728675032939).

10120333310101 is a wasteful number, since it uses less digits than its factorization.

10120333310101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11953.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10120333310101 its reverse (10101333302101), we get a palindrome (20221666612202).

The spelling of 10120333310101 in words is "ten trillion, one hundred twenty billion, three hundred thirty-three million, three hundred ten thousand, one hundred one".