101011120100 has 144 divisors (see below), whose sum is σ = 242476730496. Its totient is φ = 36218880000.

The previous prime is 101011120087. The next prime is 101011120103. The reversal of 101011120100 is 1021110101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101011120103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29217572 + ... + 29221028.

It is an arithmetic number, because the mean of its divisors is an integer number (1683866184).

Almost surely, 2^101011120100 is an apocalyptic number.

101011120100 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 101011120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121238365248).

101011120100 is an abundant number, since it is smaller than the sum of its proper divisors (141465610396).

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

101011120100 is a wasteful number, since it uses less digits than its factorization.

101011120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011120100 its reverse (1021110101), we get a palindrome (102032230201).

Subtracting from 101011120100 its reverse (1021110101), we obtain a palindrome (99990009999).

The spelling of 101011120100 in words is "one hundred one billion, eleven million, one hundred twenty thousand, one hundred".