102101120 has 64 divisors (see below), whose sum is σ = 266293440. Its totient is φ = 37125120.

The previous prime is 102101113. The next prime is 102101143. The reversal of 102101120 is 21101201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 102101098 and 102101107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 14291.

It is an arithmetic number, because the mean of its divisors is an integer number (4160835).

Almost surely, 2^102101120 is an apocalyptic number.

102101120 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 102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133146720).

102101120 is an abundant number, since it is smaller than the sum of its proper divisors (164192320).

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

102101120 is a wasteful number, since it uses less digits than its factorization.

102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14533 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102101120 is about 10104.5098842052. The cubic root of 102101120 is about 467.3872224555.

Adding to 102101120 its reverse (21101201), we get a palindrome (123202321).

The spelling of 102101120 in words is "one hundred two million, one hundred one thousand, one hundred twenty".