102101230000 has 400 divisors, whose sum is σ = 311599056384. Its totient is φ = 31472640000.

The previous prime is 102101229977. The next prime is 102101230043. The reversal of 102101230000 is 32101201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×102101230000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74689317 + ... + 74690683.

Almost surely, 2^102101230000 is an apocalyptic number.

102101230000 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 102101230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155799528192).

102101230000 is an abundant number, since it is smaller than the sum of its proper divisors (209497826384).

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

102101230000 is a wasteful number, since it uses less digits than its factorization.

102101230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1489 counting only the distinct ones).

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

Adding to 102101230000 its reverse (32101201), we get a palindrome (102133331201).

The spelling of 102101230000 in words is "one hundred two billion, one hundred one million, two hundred thirty thousand".