1020100222000 has 80 divisors (see below), whose sum is σ = 2513142264672. Its totient is φ = 400341177600.

The previous prime is 1020100221971. The next prime is 1020100222007. The reversal of 1020100222000 is 2220010201.

It is a tau number, because it is divible by the number of its divisors (80).

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 (1020100222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4705794 + ... + 4917793.

Almost surely, 2^{1020100222000} is an apocalyptic number.

1020100222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100222000 is an abundant number, since it is smaller than the sum of its proper divisors (1493042042672).

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

1020100222000 is an equidigital number, since it uses as much as digits as its factorization.

1020100222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623663 (or 9623647 counting only the distinct ones).

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

Adding to 1020100222000 its reverse (2220010201), we get a palindrome (1022320232201).

The spelling of 1020100222000 in words is "one trillion, twenty billion, one hundred million, two hundred twenty-two thousand".