10201101011100 has 108 divisors (see below), whose sum is σ = 32379528723360. Its totient is φ = 2685859488000.

The previous prime is 10201101011071. The next prime is 10201101011107. The reversal of 10201101011100 is 111010110201.

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 (10201101011107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71666601 + ... + 71808800.

Almost surely, 2^{10201101011100} is an apocalyptic number.

10201101011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201101011100 is an abundant number, since it is smaller than the sum of its proper divisors (22178427712260).

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

10201101011100 is a wasteful number, since it uses less digits than its factorization.

10201101011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143475500 (or 143475490 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10201101011100 its reverse (111010110201), we get a palindrome (10312111121301).

The spelling of 10201101011100 in words is "ten trillion, two hundred one billion, one hundred one million, eleven thousand, one hundred".