10101221100 has 144 divisors (see below), whose sum is σ = 32809184800. Its totient is φ = 2665820160.

The previous prime is 10101221093. The next prime is 10101221107. The reversal of 10101221100 is 112210101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10101221093) and next prime (10101221107).

It is a super-2 number, since 2×10101221100² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10101221107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242616 + ... + 281184.

Almost surely, 2^10101221100 is an apocalyptic number.

10101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404592400).

10101221100 is an abundant number, since it is smaller than the sum of its proper divisors (22707963700).

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

10101221100 is a wasteful number, since it uses less digits than its factorization.

10101221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38689 (or 38676 counting only the distinct ones).

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

Adding to 10101221100 its reverse (112210101), we get a palindrome (10213431201).

The spelling of 10101221100 in words is "ten billion, one hundred one million, two hundred twenty-one thousand, one hundred".