101012120000 has 280 divisors, whose sum is σ = 276074715312. Its totient is φ = 36352000000.

The previous prime is 101012119993. The next prime is 101012120003. The reversal of 101012120000 is 21210101.

101012120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101012120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44438864 + ... + 44441136.

Almost surely, 2^101012120000 is an apocalyptic number.

101012120000 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 101012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138037357656).

101012120000 is an abundant number, since it is smaller than the sum of its proper divisors (175062595312).

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

101012120000 is a wasteful number, since it uses less digits than its factorization.

101012120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101012120000 its reverse (21210101), we get a palindrome (101033330101).

The spelling of 101012120000 in words is "one hundred one billion, twelve million, one hundred twenty thousand".