10010101012120 has 64 divisors (see below), whose sum is σ = 24846318237600. Its totient is φ = 3599137428480.

The previous prime is 10010101012069. The next prime is 10010101012123. The reversal of 10010101012120 is 2121010101001.

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 = 10010101012097 and 10010101012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127771119 + ... + 127849438.

Almost surely, 2^{10010101012120} is an apocalyptic number.

10010101012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010101012120 is an abundant number, since it is smaller than the sum of its proper divisors (14836217225480).

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

10010101012120 is a wasteful number, since it uses less digits than its factorization.

10010101012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255620668 (or 255620664 counting only the distinct ones).

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

Adding to 10010101012120 its reverse (2121010101001), we get a palindrome (12131111113121).

The spelling of 10010101012120 in words is "ten trillion, ten billion, one hundred one million, twelve thousand, one hundred twenty".