101023120 has 40 divisors (see below), whose sum is σ = 256233600. Its totient is φ = 36735360.

The previous prime is 101023081. The next prime is 101023123. The reversal of 101023120 is 21320101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101023097 and 101023106.

It is not an unprimeable number, because it can be changed into a prime (101023123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56520 + ... + 58279.

It is an arithmetic number, because the mean of its divisors is an integer number (6405840).

Almost surely, 2^101023120 is an apocalyptic number.

101023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023120 is an abundant number, since it is smaller than the sum of its proper divisors (155210480).

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

101023120 is a wasteful number, since it uses less digits than its factorization.

101023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114823 (or 114817 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101023120 is about 10051.0258182934. The cubic root of 101023120 is about 465.7364827425.

Adding to 101023120 its reverse (21320101), we get a palindrome (122343221).

The spelling of 101023120 in words is "one hundred one million, twenty-three thousand, one hundred twenty".