102113310222100 has 144 divisors (see below), whose sum is σ = 234078835217920. Its totient is φ = 38604255782400.

The previous prime is 102113310222061. The next prime is 102113310222103. The reversal of 102113310222100 is 1222013311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113310222103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1390148974 + ... + 1390222426.

Almost surely, 2^{102113310222100} is an apocalyptic number.

102113310222100 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 102113310222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117039417608960).

102113310222100 is an abundant number, since it is smaller than the sum of its proper divisors (131965524995820).

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

102113310222100 is a wasteful number, since it uses less digits than its factorization.

102113310222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83970 (or 83963 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102113310222100 its reverse (1222013311201), we get a palindrome (103335323533301).

The spelling of 102113310222100 in words is "one hundred two trillion, one hundred thirteen billion, three hundred ten million, two hundred twenty-two thousand, one hundred".