102233010102100 has 144 divisors (see below), whose sum is σ = 232872181476480. Its totient is φ = 38882435328000.

The previous prime is 102233010102089. The next prime is 102233010102103. The reversal of 102233010102100 is 1201010332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233010102103) 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, 321917191 + ... + 322234609.

It is an arithmetic number, because the mean of its divisors is an integer number (1617167926920).

Almost surely, 2^{102233010102100} is an apocalyptic number.

102233010102100 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 102233010102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116436090738240).

102233010102100 is an abundant number, since it is smaller than the sum of its proper divisors (130639171374380).

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

102233010102100 is a wasteful number, since it uses less digits than its factorization.

102233010102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318290 (or 318283 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102233010102100 its reverse (1201010332201), we get a palindrome (103434020434301).

The spelling of 102233010102100 in words is "one hundred two trillion, two hundred thirty-three billion, ten million, one hundred two thousand, one hundred".