20000102222100 has 1152 divisors, whose sum is σ = 84490024292352. Its totient is φ = 3512910643200.

The previous prime is 20000102222099. The next prime is 20000102222129. The reversal of 20000102222100 is 122220100002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 188835759 + ... + 188941641.

It is an arithmetic number, because the mean of its divisors is an integer number (73342034976).

Almost surely, 2^{20000102222100} is an apocalyptic number.

20000102222100 is a gapful number since it is divisible by the number (20) 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 20000102222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42245012146176).

20000102222100 is an abundant number, since it is smaller than the sum of its proper divisors (64489922070252).

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

20000102222100 is a wasteful number, since it uses less digits than its factorization.

20000102222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105985 (or 105978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20000102222100 its reverse (122220100002), we get a palindrome (20122322322102).

It can be divided in two parts, 20000102 and 222100, that added together give a palindrome (20222202).

The spelling of 20000102222100 in words is "twenty trillion, one hundred two million, two hundred twenty-two thousand, one hundred".