100100010002010 has 256 divisors, whose sum is σ = 259456051445760. Its totient is φ = 24666762193920.

The previous prime is 100100010001987. The next prime is 100100010002021. The reversal of 100100010002010 is 10200010001001.

It is a super-3 number, since 3×100100010002010³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100100010002010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 620090727 + ... + 620252133.

It is an arithmetic number, because the mean of its divisors is an integer number (1013500200960).

Almost surely, 2^{100100010002010} is an apocalyptic number.

100100010002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100010002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129728025722880).

100100010002010 is an abundant number, since it is smaller than the sum of its proper divisors (159356041443750).

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

100100010002010 is a wasteful number, since it uses less digits than its factorization.

100100010002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161821.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100010002010 its reverse (10200010001001), we get a palindrome (110300020003011).

The spelling of 100100010002010 in words is "one hundred trillion, one hundred billion, ten million, two thousand, ten".