1022101221200 has 60 divisors (see below), whose sum is σ = 2455704215868. Its totient is φ = 408822835200.

The previous prime is 1022101221101. The next prime is 1022101221203. The reversal of 1022101221200 is 21221012201.

It can be written as a sum of positive squares in 6 ways, for example, as 336062224 + 1021765158976 = 18332^2 + 1010824^2 .

It is a super-3 number, since 3×1022101221200³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022101221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13190570 + ... + 13267830.

Almost surely, 2^{1022101221200} is an apocalyptic number.

1022101221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022101221200 is an abundant number, since it is smaller than the sum of its proper divisors (1433602994668).

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

1022101221200 is a wasteful number, since it uses less digits than its factorization.

1022101221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110352 (or 110341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022101221200 its reverse (21221012201), we get a palindrome (1043322233401).

The spelling of 1022101221200 in words is "one trillion, twenty-two billion, one hundred one million, two hundred twenty-one thousand, two hundred".