101020001120000 has 180 divisors, whose sum is σ = 254331042683256. Its totient is φ = 40030348800000.

The previous prime is 101020001119963. The next prime is 101020001120021. The reversal of 101020001120000 is 21100020101.

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 101020001120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14169650 + ... + 20070350.

Almost surely, 2^{101020001120000} is an apocalyptic number.

101020001120000 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 101020001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127165521341628).

101020001120000 is an abundant number, since it is smaller than the sum of its proper divisors (153311041563256).

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

101020001120000 is an frugal number, since it uses more digits than its factorization.

101020001120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900844 (or 5900815 counting only the distinct ones).

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

Adding to 101020001120000 its reverse (21100020101), we get a palindrome (101041101140101).

The spelling of 101020001120000 in words is "one hundred one trillion, twenty billion, one million, one hundred twenty thousand".