1010022011200 has 336 divisors, whose sum is σ = 2638129148928. Its totient is φ = 379975680000.

The previous prime is 1010022011189. The next prime is 1010022011209. The reversal of 1010022011200 is 21102200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010022011209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632448802 + ... + 632450398.

It is an arithmetic number, because the mean of its divisors is an integer number (7851574848).

Almost surely, 2^{1010022011200} is an apocalyptic number.

1010022011200 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 1010022011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319064574464).

1010022011200 is an abundant number, since it is smaller than the sum of its proper divisors (1628107137728).

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

1010022011200 is a wasteful number, since it uses less digits than its factorization.

1010022011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010022011200 its reverse (21102200101), we get a palindrome (1031124211301).

The spelling of 1010022011200 in words is "one trillion, ten billion, twenty-two million, eleven thousand, two hundred".