20010100220000 has 240 divisors, whose sum is σ = 54058846431744. Its totient is φ = 7228200000000.

The previous prime is 20010100219979. The next prime is 20010100220069. The reversal of 20010100220000 is 2200101002.

It is a super-2 number, since 2×20010100220000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20010100220000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32918825 + ... + 33521175.

Almost surely, 2^{20010100220000} is an apocalyptic number.

20010100220000 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 20010100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27029423215872).

20010100220000 is an abundant number, since it is smaller than the sum of its proper divisors (34048746211744).

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

20010100220000 is a wasteful number, since it uses less digits than its factorization.

20010100220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602543 (or 602520 counting only the distinct ones).

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

Adding to 20010100220000 its reverse (2200101002), we get a palindrome (20012300321002).

It can be divided in two parts, 200101002 and 20000, that added together give a palindrome (200121002).

The spelling of 20010100220000 in words is "twenty trillion, ten billion, one hundred million, two hundred twenty thousand".