101120102222100 has 288 divisors, whose sum is σ = 315982925381760. Its totient is φ = 24819799541760.

The previous prime is 101120102222099. The next prime is 101120102222119. The reversal of 101120102222100 is 1222201021101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101120102222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6619099662 + ... + 6619114938.

Almost surely, 2^{101120102222100} is an apocalyptic number.

101120102222100 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 101120102222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157991462690880).

101120102222100 is an abundant number, since it is smaller than the sum of its proper divisors (214862823159660).

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

101120102222100 is a wasteful number, since it uses less digits than its factorization.

101120102222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20059 (or 20052 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101120102222100 its reverse (1222201021101), we get a palindrome (102342303243201).

The spelling of 101120102222100 in words is "one hundred one trillion, one hundred twenty billion, one hundred two million, two hundred twenty-two thousand, one hundred".