100212100221690 has 160 divisors (see below), whose sum is σ = 270007749784080. Its totient is φ = 26668866871296.

The previous prime is 100212100221689. The next prime is 100212100221791. The reversal of 100212100221690 is 96122001212001.

It can be written as a sum of positive squares in 8 ways, for example, as 87908232131721 + 12303868089969 = 9375939^2 + 3507687^2 .

It is a super-2 number, since 2×100212100221690² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1073152282 + ... + 1073245658.

Almost surely, 2^{100212100221690} is an apocalyptic number.

100212100221690 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 100212100221690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135003874892040).

100212100221690 is an abundant number, since it is smaller than the sum of its proper divisors (169795649562390).

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

100212100221690 is a wasteful number, since it uses less digits than its factorization.

100212100221690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96078 (or 96069 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 100212100221690 its reverse (96122001212001), we get a palindrome (196334101433691).

The spelling of 100212100221690 in words is "one hundred trillion, two hundred twelve billion, one hundred million, two hundred twenty-one thousand, six hundred ninety".