1022010000 has 400 divisors, whose sum is σ = 3811779840. Its totient is φ = 233280000.

The previous prime is 1022009983. The next prime is 1022010007. The reversal of 1022010000 is 102201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022010007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6269919 + ... + 6270081.

Almost surely, 2^1022010000 is an apocalyptic number.

1022010000 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 1022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905889920).

1022010000 is an abundant number, since it is smaller than the sum of its proper divisors (2789769840).

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

1022010000 is a wasteful number, since it uses less digits than its factorization.

1022010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1022010000 is about 31968.8911287207. The cubic root of 1022010000 is about 1007.2834886651.

Adding to 1022010000 its reverse (102201), we get a palindrome (1022112201).

Multiplying 1022010000 by its reverse (102201), we get a square (104450444010000 = 10220100²).

1022010000 divided by its reverse (102201) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 102 and 2010000, that added together give a palindrome (2010102).

The spelling of 1022010000 in words is "one billion, twenty-two million, ten thousand".