22020101002000 has 160 divisors (see below), whose sum is σ = 53931505421664. Its totient is φ = 8694927360000.

The previous prime is 22020101001953. The next prime is 22020101002057. The reversal of 22020101002000 is 20010102022.

It can be written as a sum of positive squares in 16 ways, for example, as 8609036701456 + 13411064300544 = 2934116^2 + 3662112^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67912264 + ... + 68235736.

Almost surely, 2^{22020101002000} is an apocalyptic number.

22020101002000 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 22020101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26965752710832).

22020101002000 is an abundant number, since it is smaller than the sum of its proper divisors (31911404419664).

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

22020101002000 is a wasteful number, since it uses less digits than its factorization.

22020101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323934 (or 323918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22020101002000 its reverse (20010102022), we get a palindrome (22040111104022).

The spelling of 22020101002000 in words is "twenty-two trillion, twenty billion, one hundred one million, two thousand".