10102844046900 has 216 divisors, whose sum is σ = 32135394508672. Its totient is φ = 2448749952000.

The previous prime is 10102844046887. The next prime is 10102844046907. The reversal of 10102844046900 is 964044820101.

It is a super-2 number, since 2×10102844046900² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102844046907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243298140 + ... + 243339660.

Almost surely, 2^{10102844046900} is an apocalyptic number.

10102844046900 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 10102844046900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067697254336).

10102844046900 is an abundant number, since it is smaller than the sum of its proper divisors (22032550461772).

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

10102844046900 is a wasteful number, since it uses less digits than its factorization.

10102844046900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48263 (or 48245 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10102844046900 in words is "ten trillion, one hundred two billion, eight hundred forty-four million, forty-six thousand, nine hundred".