101021021100 has 180 divisors, whose sum is σ = 328511619744. Its totient is φ = 26853275520.

The previous prime is 101021021099. The next prime is 101021021141. The reversal of 101021021100 is 1120120101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×101021021100³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2548029 + ... + 2587371.

Almost surely, 2^101021021100 is an apocalyptic number.

101021021100 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 101021021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164255809872).

101021021100 is an abundant number, since it is smaller than the sum of its proper divisors (227490598644).

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

101021021100 is a wasteful number, since it uses less digits than its factorization.

101021021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39686 (or 39670 counting only the distinct ones).

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

Adding to 101021021100 its reverse (1120120101), we get a palindrome (102141141201).

Subtracting from 101021021100 its reverse (1120120101), we obtain a palindrome (99900900999).

The spelling of 101021021100 in words is "one hundred one billion, twenty-one million, twenty-one thousand, one hundred".