102101233100 has 72 divisors (see below), whose sum is σ = 222812645328. Its totient is φ = 40609900800.

The previous prime is 102101233097. The next prime is 102101233103. The reversal of 102101233100 is 1332101201.

It is an interprime number because it is at equal distance from previous prime (102101233097) and next prime (102101233103).

It is a super-2 number, since 2×102101233100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102101233103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43317122 + ... + 43319478.

It is an arithmetic number, because the mean of its divisors is an integer number (3094620074).

Almost surely, 2^102101233100 is an apocalyptic number.

102101233100 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 102101233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111406322664).

102101233100 is an abundant number, since it is smaller than the sum of its proper divisors (120711412228).

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

102101233100 is a wasteful number, since it uses less digits than its factorization.

102101233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102101233100 its reverse (1332101201), we get a palindrome (103433334301).

The spelling of 102101233100 in words is "one hundred two billion, one hundred one million, two hundred thirty-three thousand, one hundred".