10121222100100 has 36 divisors (see below), whose sum is σ = 22021934215204. Its totient is φ = 4037634967680.

The previous prime is 10121222100083. The next prime is 10121222100109. The reversal of 10121222100100 is 100122212101.

It can be written as a sum of positive squares in 6 ways, for example, as 140589002304 + 9980633097796 = 374952^2 + 3159214^2 .

It is not an unprimeable number, because it can be changed into a prime (10121222100109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135635919 + ... + 135710518.

Almost surely, 2^{10121222100100} is an apocalyptic number.

10121222100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121222100100 is an abundant number, since it is smaller than the sum of its proper divisors (11900712115104).

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

10121222100100 is a wasteful number, since it uses less digits than its factorization.

10121222100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271346824 (or 271346817 counting only the distinct ones).

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

Adding to 10121222100100 its reverse (100122212101), we get a palindrome (10221344312201).

The spelling of 10121222100100 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, one hundred".