10100222121100 has 72 divisors (see below), whose sum is σ = 22332762486720. Its totient is φ = 3963551354880.

The previous prime is 10100222121089. The next prime is 10100222121109. The reversal of 10100222121100 is 112122200101.

It is not an unprimeable number, because it can be changed into a prime (10100222121109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74975404 + ... + 75109996.

It is an arithmetic number, because the mean of its divisors is an integer number (310177256760).

Almost surely, 2^{10100222121100} is an apocalyptic number.

10100222121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100222121100 is an abundant number, since it is smaller than the sum of its proper divisors (12232540365620).

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

10100222121100 is a wasteful number, since it uses less digits than its factorization.

10100222121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148819 (or 148812 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100222121100 its reverse (112122200101), we get a palindrome (10212344321201).

The spelling of 10100222121100 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".