10102211120100 has 432 divisors, whose sum is σ = 32806822353984. Its totient is φ = 2397755289600.

The previous prime is 10102211120047. The next prime is 10102211120107. The reversal of 10102211120100 is 102111220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10102211120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363022387 + ... + 363050213.

It is an arithmetic number, because the mean of its divisors is an integer number (75941718412).

Almost surely, 2^{10102211120100} is an apocalyptic number.

10102211120100 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 10102211120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16403411176992).

10102211120100 is an abundant number, since it is smaller than the sum of its proper divisors (22704611233884).

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

10102211120100 is a wasteful number, since it uses less digits than its factorization.

10102211120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28076 (or 28058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102211120100 its reverse (102111220101), we get a palindrome (10204322340201).

The spelling of 10102211120100 in words is "ten trillion, one hundred two billion, two hundred eleven million, one hundred twenty thousand, one hundred".