101240100120 has 128 divisors (see below), whose sum is σ = 306777196800. Its totient is φ = 26726002176.

The previous prime is 101240100107. The next prime is 101240100133. The reversal of 101240100120 is 21001042101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101240100107) and next prime (101240100133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101240100096 and 101240100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35912071 + ... + 35914889.

It is an arithmetic number, because the mean of its divisors is an integer number (2396696850).

Almost surely, 2^101240100120 is an apocalyptic number.

101240100120 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 101240100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153388598400).

101240100120 is an abundant number, since it is smaller than the sum of its proper divisors (205537096680).

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

101240100120 is a wasteful number, since it uses less digits than its factorization.

101240100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101240100120 its reverse (21001042101), we get a palindrome (122241142221).

The spelling of 101240100120 in words is "one hundred one billion, two hundred forty million, one hundred thousand, one hundred twenty".