101011012110120 has 256 divisors, whose sum is σ = 346908695500800. Its totient is φ = 23049234754560.

The previous prime is 101011012110101. The next prime is 101011012110179. The reversal of 101011012110120 is 21011210110101.

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 = 101011012110096 and 101011012110105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2326831215 + ... + 2326874625.

It is an arithmetic number, because the mean of its divisors is an integer number (1355112091800).

Almost surely, 2^{101011012110120} is an apocalyptic number.

101011012110120 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 101011012110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173454347750400).

101011012110120 is an abundant number, since it is smaller than the sum of its proper divisors (245897683390680).

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

101011012110120 is a wasteful number, since it uses less digits than its factorization.

101011012110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48048 (or 48044 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101011012110120 its reverse (21011210110101), we get a palindrome (122022222220221).

It can be divided in two parts, 10101101 and 2110120, that added together give a palindrome (12211221).

The spelling of 101011012110120 in words is "one hundred one trillion, eleven billion, twelve million, one hundred ten thousand, one hundred twenty".