10201101100 has 36 divisors (see below), whose sum is σ = 22143207744. Its totient is φ = 4079183680.

The previous prime is 10201101091. The next prime is 10201101109. The reversal of 10201101100 is 110110201.

It is an interprime number because it is at equal distance from previous prime (10201101091) and next prime (10201101109).

It is not an unprimeable number, because it can be changed into a prime (10201101109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353829 + ... + 381571.

It is an arithmetic number, because the mean of its divisors is an integer number (615089104).

Almost surely, 2^10201101100 is an apocalyptic number.

10201101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201101100 is an abundant number, since it is smaller than the sum of its proper divisors (11942106644).

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

10201101100 is a wasteful number, since it uses less digits than its factorization.

10201101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31434 (or 31427 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10201101100 its reverse (110110201), we get a palindrome (10311211301).

The spelling of 10201101100 in words is "ten billion, two hundred one million, one hundred one thousand, one hundred".