10101122101221 has 96 divisors (see below), whose sum is σ = 15024913544448. Its totient is φ = 6028494151680.

The previous prime is 10101122101219. The next prime is 10101122101229. The reversal of 10101122101221 is 12210122110101.

It is a happy number.

It is not a de Polignac number, because 10101122101221 - 2¹ = 10101122101219 is a prime.

It is a super-3 number, since 3×10101122101221³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10101122101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101122101229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477741976 + ... + 477763118.

It is an arithmetic number, because the mean of its divisors is an integer number (156509516088).

Almost surely, 2^{10101122101221} is an apocalyptic number.

It is an amenable number.

10101122101221 is a deficient number, since it is larger than the sum of its proper divisors (4923791443227).

10101122101221 is a wasteful number, since it uses less digits than its factorization.

10101122101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21551 (or 21534 counting only the distinct ones).

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

Adding to 10101122101221 its reverse (12210122110101), we get a palindrome (22311244211322).

It can be divided in two parts, 10101 and 122101221, that multiplied together give a palindrome (1233344433321).

The spelling of 10101122101221 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty-one".