10221121100100 has 72 divisors (see below), whose sum is σ = 30260857174240. Its totient is φ = 2662245492480.

The previous prime is 10221121100093. The next prime is 10221121100129. The reversal of 10221121100100 is 100112112201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396154585 + ... + 396180384.

Almost surely, 2^{10221121100100} is an apocalyptic number.

10221121100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221121100100 is an abundant number, since it is smaller than the sum of its proper divisors (20039736074140).

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

10221121100100 is a wasteful number, since it uses less digits than its factorization.

10221121100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792335029 (or 792335022 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221121100100 its reverse (100112112201), we get a palindrome (10321233212301).

It can be divided in two parts, 1022112 and 1100100, that added together give a palindrome (2122212).

The spelling of 10221121100100 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, one hundred".