101420414033211 has 48 divisors (see below), whose sum is σ = 180320205950976. Its totient is φ = 53491364687808.

The previous prime is 101420414033203. The next prime is 101420414033287. The reversal of 101420414033211 is 112330414024101.

It is a happy number.

101420414033211 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 0 + 41 + 403 + 3 + 211 = 666.

It is not a de Polignac number, because 101420414033211 - 2³ = 101420414033203 is a prime.

It is a super-2 number, since 2×101420414033211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101420414033611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651466 + ... + 14486928.

It is an arithmetic number, because the mean of its divisors is an integer number (3756670957312).

Almost surely, 2^{101420414033211} is an apocalyptic number.

101420414033211 is a deficient number, since it is larger than the sum of its proper divisors (78899791917765).

101420414033211 is a wasteful number, since it uses less digits than its factorization.

101420414033211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11845952 (or 11845949 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101420414033211 its reverse (112330414024101), we get a palindrome (213750828057312).

The spelling of 101420414033211 in words is "one hundred one trillion, four hundred twenty billion, four hundred fourteen million, thirty-three thousand, two hundred eleven".