101121120 has 72 divisors (see below), whose sum is σ = 345080736. Its totient is φ = 26965248.

The previous prime is 101121109. The next prime is 101121131. The reversal of 101121120 is 21121101.

101121120 = 395² + 396² + ... + 714².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101121109) and next prime (101121131).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33672 + ... + 36551.

It is an arithmetic number, because the mean of its divisors is an integer number (4792788).

Almost surely, 2^101121120 is an apocalyptic number.

101121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121120 is an abundant number, since it is smaller than the sum of its proper divisors (243959616).

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

101121120 is a wasteful number, since it uses less digits than its factorization.

101121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70244 (or 70233 counting only the distinct ones).

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

The square root of 101121120 is about 10055.8997608369. The cubic root of 101121120 is about 465.8870338391.

Adding to 101121120 its reverse (21121101), we get a palindrome (122242221).

The spelling of 101121120 in words is "one hundred one million, one hundred twenty-one thousand, one hundred twenty".