101011012020121 has 16 divisors (see below), whose sum is σ = 116229530124288. Its totient is φ = 85989822786000.

The previous prime is 101011012020071. The next prime is 101011012020157. The reversal of 101011012020121 is 121020210110101.

It is a happy number.

It is not a de Polignac number, because 101011012020121 - 2²¹ = 101011009922969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011012320121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4660825 + ... + 14958118.

It is an arithmetic number, because the mean of its divisors is an integer number (7264345632768).

Almost surely, 2^{101011012020121} is an apocalyptic number.

It is an amenable number.

101011012020121 is a deficient number, since it is larger than the sum of its proper divisors (15218518104167).

101011012020121 is a wasteful number, since it uses less digits than its factorization.

101011012020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19623972.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101011012020121 its reverse (121020210110101), we get a palindrome (222031222130222).

The spelling of 101011012020121 in words is "one hundred one trillion, eleven billion, twelve million, twenty thousand, one hundred twenty-one".