10202112120101 has 32 divisors (see below), whose sum is σ = 12094658457600. Its totient is φ = 8502087888000.

The previous prime is 10202112120061. The next prime is 10202112120197. The reversal of 10202112120101 is 10102121120201.

It is a cyclic number.

It is not a de Polignac number, because 10202112120101 - 2¹⁸ = 10202111857957 is a prime.

It is a super-2 number, since 2×10202112120101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202112620101) 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, 58813985 + ... + 58987193.

It is an arithmetic number, because the mean of its divisors is an integer number (377958076800).

Almost surely, 2^{10202112120101} is an apocalyptic number.

10202112120101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202112120101 is a deficient number, since it is larger than the sum of its proper divisors (1892546337499).

10202112120101 is a wasteful number, since it uses less digits than its factorization.

10202112120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182361.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10202112120101 its reverse (10102121120201), we get a palindrome (20304233240302).

The spelling of 10202112120101 in words is "ten trillion, two hundred two billion, one hundred twelve million, one hundred twenty thousand, one hundred one".