101022000002000 has 960 divisors, whose sum is σ = 309295833799680. Its totient is φ = 31238000640000.

The previous prime is 101022000001991. The next prime is 101022000002017. The reversal of 101022000002000 is 200000220101.

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 191 ways as a sum of consecutive naturals, for example, 177543057716 + ... + 177543058284.

It is an arithmetic number, because the mean of its divisors is an integer number (322183160208).

Almost surely, 2^{101022000002000} is an apocalyptic number.

101022000002000 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 101022000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154647916899840).

101022000002000 is an abundant number, since it is smaller than the sum of its proper divisors (208273833797680).

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

101022000002000 is a wasteful number, since it uses less digits than its factorization.

101022000002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1242 counting only the distinct ones).

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

Adding to 101022000002000 its reverse (200000220101), we get a palindrome (101222000222101).

The spelling of 101022000002000 in words is "one hundred one trillion, twenty-two billion, two thousand".