101211201221000 has 64 divisors (see below), whose sum is σ = 255052227109680. Its totient is φ = 37370289676800.

The previous prime is 101211201220993. The next prime is 101211201221003. The reversal of 101211201221000 is 122102112101.

It can be written as a sum of positive squares in 8 ways, for example, as 9525482250244 + 91685718970756 = 3086338^2 + 9575266^2 .

It is a super-3 number, since 3×101211201221000³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101211201221003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3892725509 + ... + 3892751508.

Almost surely, 2^{101211201221000} is an apocalyptic number.

101211201221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211201221000 is an abundant number, since it is smaller than the sum of its proper divisors (153841025888680).

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

101211201221000 is a wasteful number, since it uses less digits than its factorization.

101211201221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785477051 (or 7785477037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101211201221000 its reverse (122102112101), we get a palindrome (101333303333101).

The spelling of 101211201221000 in words is "one hundred one trillion, two hundred eleven billion, two hundred one million, two hundred twenty-one thousand".