101201211221000 has 128 divisors (see below), whose sum is σ = 258393058560000. Its totient is φ = 36792752896000.

The previous prime is 101201211220997. The next prime is 101201211221027. The reversal of 101201211221000 is 122112102101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51830456 + ... + 53747544.

It is an arithmetic number, because the mean of its divisors is an integer number (2018695770000).

Almost surely, 2^{101201211221000} is an apocalyptic number.

101201211221000 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 101201211221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129196529280000).

101201211221000 is an abundant number, since it is smaller than the sum of its proper divisors (157191847339000).

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

101201211221000 is a wasteful number, since it uses less digits than its factorization.

101201211221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921920 (or 1921906 counting only the distinct ones).

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

Adding to 101201211221000 its reverse (122112102101), we get a palindrome (101323323323101).

The spelling of 101201211221000 in words is "one hundred one trillion, two hundred one billion, two hundred eleven million, two hundred twenty-one thousand".