101023200120 has 128 divisors (see below), whose sum is σ = 311448291840. Its totient is φ = 26195627520.

The previous prime is 101023200107. The next prime is 101023200133. The reversal of 101023200120 is 21002320101.

It is an interprime number because it is at equal distance from previous prime (101023200107) and next prime (101023200133).

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 = 101023200096 and 101023200105.

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, 8567749 + ... + 8579531.

It is an arithmetic number, because the mean of its divisors is an integer number (2433189780).

Almost surely, 2^101023200120 is an apocalyptic number.

101023200120 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 101023200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155724145920).

101023200120 is an abundant number, since it is smaller than the sum of its proper divisors (210425091720).

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

101023200120 is a wasteful number, since it uses less digits than its factorization.

101023200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765 (or 13761 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101023200120 its reverse (21002320101), we get a palindrome (122025520221).

The spelling of 101023200120 in words is "one hundred one billion, twenty-three million, two hundred thousand, one hundred twenty".