10101112002120 has 64 divisors (see below), whose sum is σ = 30320682563520. Its totient is φ = 2692087951104.

The previous prime is 10101112002109. The next prime is 10101112002131. The reversal of 10101112002120 is 2120021110101.

It is an interprime number because it is at equal distance from previous prime (10101112002109) and next prime (10101112002131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10101112002096 and 10101112002105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23881927 + ... + 24301206.

It is an arithmetic number, because the mean of its divisors is an integer number (473760665055).

Almost surely, 2^{10101112002120} is an apocalyptic number.

10101112002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101112002120 is an abundant number, since it is smaller than the sum of its proper divisors (20219570561400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101112002120 is a wasteful number, since it uses less digits than its factorization.

10101112002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48184894 (or 48184890 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10101112002120 its reverse (2120021110101), we get a palindrome (12221133112221).

The spelling of 10101112002120 in words is "ten trillion, one hundred one billion, one hundred twelve million, two thousand, one hundred twenty".