10201101001200 has 120 divisors (see below), whose sum is σ = 36308363231600. Its totient is φ = 2720293597440.

The previous prime is 10201101001183. The next prime is 10201101001207. The reversal of 10201101001200 is 210010110201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201101001207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472262395 + ... + 472283994.

Almost surely, 2^{10201101001200} is an apocalyptic number.

10201101001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201101001200 is an abundant number, since it is smaller than the sum of its proper divisors (26107262230400).

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

10201101001200 is a wasteful number, since it uses less digits than its factorization.

10201101001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944546416 (or 944546399 counting only the distinct ones).

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

Adding to 10201101001200 its reverse (210010110201), we get a palindrome (10411111111401).

The spelling of 10201101001200 in words is "ten trillion, two hundred one billion, one hundred one million, one thousand, two hundred".