101012012340120 has 384 divisors, whose sum is σ = 384247993933440. Its totient is φ = 22537410969600.

The previous prime is 101012012340097. The next prime is 101012012340137. The reversal of 101012012340120 is 21043210210101.

101012012340120 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 201 + 2 + 340 + 120 = 666.

It is a super-2 number, since 2×101012012340120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101012012340093 and 101012012340102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15013720 + ... + 20674520.

It is an arithmetic number, because the mean of its divisors is an integer number (1000645817535).

Almost surely, 2^{101012012340120} is an apocalyptic number.

101012012340120 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 101012012340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192123996966720).

101012012340120 is an abundant number, since it is smaller than the sum of its proper divisors (283235981593320).

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

101012012340120 is a wasteful number, since it uses less digits than its factorization.

101012012340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660995 (or 5660988 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101012012340120 its reverse (21043210210101), we get a palindrome (122055222550221).

The spelling of 101012012340120 in words is "one hundred one trillion, twelve billion, twelve million, three hundred forty thousand, one hundred twenty".