10201101120000 has 1400 divisors, whose sum is σ = 43649355685056. Its totient is φ = 2331307008000.

The previous prime is 10201101119987. The next prime is 10201101120011. The reversal of 10201101120000 is 2110110201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1632956877 + ... + 1632963123.

Almost surely, 2^{10201101120000} is an apocalyptic number.

10201101120000 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 10201101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21824677842528).

10201101120000 is an abundant number, since it is smaller than the sum of its proper divisors (33448254565056).

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

10201101120000 is an frugal number, since it uses more digits than its factorization.

10201101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10201101120000 its reverse (2110110201), we get a palindrome (10203211230201).

The spelling of 10201101120000 in words is "ten trillion, two hundred one billion, one hundred one million, one hundred twenty thousand".