101001102120 has 256 divisors, whose sum is σ = 362634624000. Its totient is φ = 24922453248.

The previous prime is 101001102107. The next prime is 101001102143. The reversal of 101001102120 is 21201100101.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 825127 + ... + 939593.

It is an arithmetic number, because the mean of its divisors is an integer number (1416541500).

Almost surely, 2^101001102120 is an apocalyptic number.

101001102120 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 101001102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181317312000).

101001102120 is an abundant number, since it is smaller than the sum of its proper divisors (261633521880).

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

101001102120 is a wasteful number, since it uses less digits than its factorization.

101001102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114549 (or 114539 counting only the distinct ones).

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

Adding to 101001102120 its reverse (21201100101), we get a palindrome (122202202221).

The spelling of 101001102120 in words is "one hundred one billion, one million, one hundred two thousand, one hundred twenty".