100012201001010 has 128 divisors (see below), whose sum is σ = 270710490769920. Its totient is φ = 26269499692800.

The previous prime is 100012201000967. The next prime is 100012201001017. The reversal of 100012201001010 is 10100102210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100012201000983 and 100012201001001.

It is not an unprimeable number, because it can be changed into a prime (100012201001017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17880784 + ... + 22797956.

It is an arithmetic number, because the mean of its divisors is an integer number (2114925709140).

Almost surely, 2^{100012201001010} is an apocalyptic number.

100012201001010 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 100012201001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135355245384960).

100012201001010 is an abundant number, since it is smaller than the sum of its proper divisors (170698289768910).

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

100012201001010 is a wasteful number, since it uses less digits than its factorization.

100012201001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918321 (or 4918315 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100012201001010 its reverse (10100102210001), we get a palindrome (110112303211011).

The spelling of 100012201001010 in words is "one hundred trillion, twelve billion, two hundred one million, one thousand, ten".