1022100002000 has 320 divisors, whose sum is σ = 3111828115968. Its totient is φ = 315417600000.

The previous prime is 1022100001987. The next prime is 1022100002057. The reversal of 1022100002000 is 2000012201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15521144 + ... + 15586856.

Almost surely, 2^{1022100002000} is an apocalyptic number.

1022100002000 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 1022100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555914057984).

1022100002000 is an abundant number, since it is smaller than the sum of its proper divisors (2089728113968).

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

1022100002000 is a wasteful number, since it uses less digits than its factorization.

1022100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65855 (or 65839 counting only the distinct ones).

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

Adding to 1022100002000 its reverse (2000012201), we get a palindrome (1024100014201).

The spelling of 1022100002000 in words is "one trillion, twenty-two billion, one hundred million, two thousand".