10201020000 has 480 divisors, whose sum is σ = 36177194592. Its totient is φ = 2506752000.

The previous prime is 10201019963. The next prime is 10201020023. The reversal of 10201020000 is 2010201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 74459932 + ... + 74460068.

Almost surely, 2^10201020000 is an apocalyptic number.

10201020000 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 10201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088597296).

10201020000 is an abundant number, since it is smaller than the sum of its proper divisors (25976174592).

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

10201020000 is a wasteful number, since it uses less digits than its factorization.

10201020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10201020000 its reverse (2010201), we get a palindrome (10203030201).

The spelling of 10201020000 in words is "ten billion, two hundred one million, twenty thousand".