1020101222000 has 160 divisors (see below), whose sum is σ = 2967344839680. Its totient is φ = 331341062400.

The previous prime is 1020101221967. The next prime is 1020101222009. The reversal of 1020101222000 is 2221010201.

It is a happy number.

1020101222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101222009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1651484 + ... + 2183483.

It is an arithmetic number, because the mean of its divisors is an integer number (18545905248).

Almost surely, 2^{1020101222000} is an apocalyptic number.

1020101222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020101222000 is an abundant number, since it is smaller than the sum of its proper divisors (1947243617680).

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

1020101222000 is a wasteful number, since it uses less digits than its factorization.

1020101222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835016 (or 3835000 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020101222000 its reverse (2221010201), we get a palindrome (1022322232201).

The spelling of 1020101222000 in words is "one trillion, twenty billion, one hundred one million, two hundred twenty-two thousand".