101101020000 has 240 divisors, whose sum is σ = 340602059952. Its totient is φ = 26231040000.

The previous prime is 101101019977. The next prime is 101101020011. The reversal of 101101020000 is 20101101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2197230 + ... + 2242770.

Almost surely, 2^101101020000 is an apocalyptic number.

101101020000 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 101101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170301029976).

101101020000 is an abundant number, since it is smaller than the sum of its proper divisors (239501039952).

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

101101020000 is an equidigital number, since it uses as much as digits as its factorization.

101101020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45611 (or 45588 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101101020000 its reverse (20101101), we get a palindrome (101121121101).

It can be divided in two parts, 101 and 101020000, that added together give a palindrome (101020101).

The spelling of 101101020000 in words is "one hundred one billion, one hundred one million, twenty thousand".