10102021322100 has 144 divisors (see below), whose sum is σ = 30031160966016. Its totient is φ = 2619957312000.

The previous prime is 10102021322093. The next prime is 10102021322101. The reversal of 10102021322100 is 122312020101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102021322100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102021322101) 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, 26237985 + ... + 26620215.

Almost surely, 2^{10102021322100} is an apocalyptic number.

10102021322100 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 10102021322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015580483008).

10102021322100 is an abundant number, since it is smaller than the sum of its proper divisors (19929139643916).

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

10102021322100 is a wasteful number, since it uses less digits than its factorization.

10102021322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384666 (or 384659 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10102021322100 its reverse (122312020101), we get a palindrome (10224333342201).

The spelling of 10102021322100 in words is "ten trillion, one hundred two billion, twenty-one million, three hundred twenty-two thousand, one hundred".