101253130220000 has 480 divisors, whose sum is σ = 273001655181024. Its totient is φ = 36649267200000.

The previous prime is 101253130219957. The next prime is 101253130220149. The reversal of 101253130220000 is 22031352101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52381339034 + ... + 52381340966.

Almost surely, 2^{101253130220000} is an apocalyptic number.

101253130220000 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 101253130220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136500827590512).

101253130220000 is an abundant number, since it is smaller than the sum of its proper divisors (171748524961024).

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

101253130220000 is a wasteful number, since it uses less digits than its factorization.

101253130220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 101253130220000 its reverse (22031352101), we get a palindrome (101275161572101).

The spelling of 101253130220000 in words is "one hundred one trillion, two hundred fifty-three billion, one hundred thirty million, two hundred twenty thousand".