102101001120 has 384 divisors, whose sum is σ = 367657678080. Its totient is φ = 26447708160.

The previous prime is 102101001091. The next prime is 102101001127. The reversal of 102101001120 is 21100101201.

It is a happy number.

It is a super-2 number, since 2×102101001120² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102101001127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45518719 + ... + 45520961.

It is an arithmetic number, because the mean of its divisors is an integer number (957441870).

Almost surely, 2^102101001120 is an apocalyptic number.

102101001120 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 102101001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183828839040).

102101001120 is an abundant number, since it is smaller than the sum of its proper divisors (265556676960).

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

102101001120 is a wasteful number, since it uses less digits than its factorization.

102101001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2551 counting only the distinct ones).

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

Adding to 102101001120 its reverse (21100101201), we get a palindrome (123201102321).

The spelling of 102101001120 in words is "one hundred two billion, one hundred one million, one thousand, one hundred twenty".