101001210012120 has 256 divisors, whose sum is σ = 341761617792000. Its totient is φ = 23663491061760.

The previous prime is 101001210012077. The next prime is 101001210012133. The reversal of 101001210012120 is 21210012100101.

It is a super-3 number, since 3×101001210012120³ (a number of 43 digits) contains 333 as substring.

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 = 101001210012096 and 101001210012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337557 + ... + 14216763.

It is an arithmetic number, because the mean of its divisors is an integer number (1335006319500).

Almost surely, 2^{101001210012120} is an apocalyptic number.

101001210012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001210012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170880808896000).

101001210012120 is an abundant number, since it is smaller than the sum of its proper divisors (240760407779880).

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

101001210012120 is a wasteful number, since it uses less digits than its factorization.

101001210012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13879418 (or 13879414 counting only the distinct ones).

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

Adding to 101001210012120 its reverse (21210012100101), we get a palindrome (122211222112221).

The spelling of 101001210012120 in words is "one hundred one trillion, one billion, two hundred ten million, twelve thousand, one hundred twenty".