101010033201120 has 192 divisors, whose sum is σ = 324267487971840. Its totient is φ = 26421060343808.

The previous prime is 101010033201109. The next prime is 101010033201139. The reversal of 101010033201120 is 21102330010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101010033201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99908701 + ... + 100914659.

It is an arithmetic number, because the mean of its divisors is an integer number (1688893166520).

Almost surely, 2^{101010033201120} is an apocalyptic number.

101010033201120 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 101010033201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162133743985920).

101010033201120 is an abundant number, since it is smaller than the sum of its proper divisors (223257454770720).

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

101010033201120 is a wasteful number, since it uses less digits than its factorization.

101010033201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009977 (or 1009969 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101010033201120 its reverse (21102330010101), we get a palindrome (122112363211221).

The spelling of 101010033201120 in words is "one hundred one trillion, ten billion, thirty-three million, two hundred one thousand, one hundred twenty".