101001012020000 has 240 divisors, whose sum is σ = 251111476655424. Its totient is φ = 39972720000000.

The previous prime is 101001012019987. The next prime is 101001012020003. The reversal of 101001012020000 is 20210100101.

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 101001012020000.

It is not an unprimeable number, because it can be changed into a prime (101001012020003) 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, 3052203455 + ... + 3052236545.

Almost surely, 2^{101001012020000} is an apocalyptic number.

101001012020000 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 101001012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125555738327712).

101001012020000 is an abundant number, since it is smaller than the sum of its proper divisors (150110464635424).

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

101001012020000 is a wasteful number, since it uses less digits than its factorization.

101001012020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34733 (or 34710 counting only the distinct ones).

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

Adding to 101001012020000 its reverse (20210100101), we get a palindrome (101021222120101).

The spelling of 101001012020000 in words is "one hundred one trillion, one billion, twelve million, twenty thousand".