20201102100000 has 864 divisors, whose sum is σ = 76143698991360. Its totient is φ = 5065597440000.

The previous prime is 20201102099953. The next prime is 20201102100059. The reversal of 20201102100000 is 120110202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2342695689 + ... + 2342704311.

It is an arithmetic number, because the mean of its divisors is an integer number (88129281240).

Almost surely, 2^{20201102100000} is an apocalyptic number.

20201102100000 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 20201102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38071849495680).

20201102100000 is an abundant number, since it is smaller than the sum of its proper divisors (55942596891360).

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

20201102100000 is a wasteful number, since it uses less digits than its factorization.

20201102100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8820 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20201102100000 its reverse (120110202), we get a palindrome (20201222210202).

The spelling of 20201102100000 in words is "twenty trillion, two hundred one billion, one hundred two million, one hundred thousand".