101021111100 has 1296 divisors, whose sum is σ = 432097219008. Its totient is φ = 19150110720.

The previous prime is 101021111053. The next prime is 101021111159. The reversal of 101021111100 is 1111120101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1906058674 + ... + 1906058726.

It is an arithmetic number, because the mean of its divisors is an integer number (333408348).

Almost surely, 2^101021111100 is an apocalyptic number.

101021111100 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 101021111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216048609504).

101021111100 is an abundant number, since it is smaller than the sum of its proper divisors (331076107908).

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

101021111100 is a wasteful number, since it uses less digits than its factorization.

101021111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 137 counting only the distinct ones).

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

Adding to 101021111100 its reverse (1111120101), we get a palindrome (102132231201).

Subtracting from 101021111100 its reverse (1111120101), we obtain a palindrome (99909990999).

The spelling of 101021111100 in words is "one hundred one billion, twenty-one million, one hundred eleven thousand, one hundred".