10220120020000 has 960 divisors, whose sum is σ = 29219950222848. Its totient is φ = 3483648000000.

The previous prime is 10220120019973. The next prime is 10220120020001. The reversal of 10220120020000 is 2002102201.

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

It is not an unprimeable number, because it can be changed into a prime (10220120020001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37712619865 + ... + 37712620135.

Almost surely, 2^{10220120020000} is an apocalyptic number.

10220120020000 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 10220120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609975111424).

10220120020000 is an abundant number, since it is smaller than the sum of its proper divisors (18999830202848).

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

10220120020000 is a wasteful number, since it uses less digits than its factorization.

10220120020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

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

Adding to 10220120020000 its reverse (2002102201), we get a palindrome (10222122122201).

The spelling of 10220120020000 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, twenty thousand".