100010010210100 has 288 divisors, whose sum is σ = 235598793212160. Its totient is φ = 36730423296000.

The previous prime is 100010010210079. The next prime is 100010010210113. The reversal of 100010010210100 is 1012010010001.

It is a super-2 number, since 2×100010010210100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22160425444 + ... + 22160429956.

It is an arithmetic number, because the mean of its divisors is an integer number (818051365320).

Almost surely, 2^{100010010210100} is an apocalyptic number.

100010010210100 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 100010010210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117799396606080).

100010010210100 is an abundant number, since it is smaller than the sum of its proper divisors (135588783002060).

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

100010010210100 is a wasteful number, since it uses less digits than its factorization.

100010010210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100010010210100 its reverse (1012010010001), we get a palindrome (101022020220101).

The spelling of 100010010210100 in words is "one hundred trillion, ten billion, ten million, two hundred ten thousand, one hundred".