10101002101120 has 128 divisors (see below), whose sum is σ = 28549014926400. Its totient is φ = 3343779962880.

The previous prime is 10101002101109. The next prime is 10101002101121. The reversal of 10101002101120 is 2110120010101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10101002101097 and 10101002101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101002101121) 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, 38744011 + ... + 39003850.

Almost surely, 2^{10101002101120} is an apocalyptic number.

10101002101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101002101120 is an abundant number, since it is smaller than the sum of its proper divisors (18448012825280).

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

10101002101120 is an equidigital number, since it uses as much as digits as its factorization.

10101002101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77747916 (or 77747904 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10101002101120 its reverse (2110120010101), we get a palindrome (12211122111221).

The spelling of 10101002101120 in words is "ten trillion, one hundred one billion, two million, one hundred one thousand, one hundred twenty".