101221212011001 has 32 divisors (see below), whose sum is σ = 139769488320000. Its totient is φ = 65082020548608.

The previous prime is 101221212010999. The next prime is 101221212011077. The reversal of 101221212011001 is 100110212122101.

It is a happy number.

It is not a de Polignac number, because 101221212011001 - 2¹ = 101221212010999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221212031001) 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, 846958416 + ... + 847077918.

It is an arithmetic number, because the mean of its divisors is an integer number (4367796510000).

Almost surely, 2^{101221212011001} is an apocalyptic number.

It is an amenable number.

101221212011001 is a deficient number, since it is larger than the sum of its proper divisors (38548276308999).

101221212011001 is a wasteful number, since it uses less digits than its factorization.

101221212011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130193.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221212011001 its reverse (100110212122101), we get a palindrome (201331424133102).

The spelling of 101221212011001 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twelve million, eleven thousand, one".