102233123010100 has 72 divisors (see below), whose sum is σ = 222589185567840. Its totient is φ = 40756445147520.

The previous prime is 102233123010019. The next prime is 102233123010103. The reversal of 102233123010100 is 1010321332201.

It is a super-2 number, since 2×102233123010100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233123010103) 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, 37393947 + ... + 40034653.

It is an arithmetic number, because the mean of its divisors is an integer number (3091516466220).

Almost surely, 2^{102233123010100} is an apocalyptic number.

102233123010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102233123010100 is an abundant number, since it is smaller than the sum of its proper divisors (120356062557740).

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

102233123010100 is a wasteful number, since it uses less digits than its factorization.

102233123010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642017 (or 2642010 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102233123010100 its reverse (1010321332201), we get a palindrome (103243444342301).

The spelling of 102233123010100 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred twenty-three million, ten thousand, one hundred".