10201001010000 has 800 divisors, whose sum is σ = 35960191555200. Its totient is φ = 2482099200000.

The previous prime is 10201001009951. The next prime is 10201001010001. The reversal of 10201001010000 is 1010010201.

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 not an unprimeable number, because it can be changed into a prime (10201001010001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2130087606 + ... + 2130092394.

It is an arithmetic number, because the mean of its divisors is an integer number (44950239444).

Almost surely, 2^{10201001010000} is an apocalyptic number.

10201001010000 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 10201001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980095777600).

10201001010000 is an abundant number, since it is smaller than the sum of its proper divisors (25759190545200).

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

10201001010000 is a wasteful number, since it uses less digits than its factorization.

10201001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4977 (or 4956 counting only the distinct ones).

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

Adding to 10201001010000 its reverse (1010010201), we get a palindrome (10202011020201).

It can be divided in two parts, 1020100 and 1010000, that multiplied together give a cube (1030301000000 = 10100³).

The spelling of 10201001010000 in words is "ten trillion, two hundred one billion, one million, ten thousand".