101021022000 has 240 divisors, whose sum is σ = 355090031712. Its totient is φ = 26766604800.

The previous prime is 101021021989. The next prime is 101021022013. The reversal of 101021022000 is 220120101.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2808127 + ... + 2843873.

Almost surely, 2^101021022000 is an apocalyptic number.

101021022000 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 101021022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177545015856).

101021022000 is an abundant number, since it is smaller than the sum of its proper divisors (254069009712).

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

101021022000 is a wasteful number, since it uses less digits than its factorization.

101021022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35933 (or 35914 counting only the distinct ones).

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

Adding to 101021022000 its reverse (220120101), we get a palindrome (101241142101).

The spelling of 101021022000 in words is "one hundred one billion, twenty-one million, twenty-two thousand".