101002121121 has 16 divisors (see below), whose sum is σ = 147090723840. Its totient is φ = 61139011920.

The previous prime is 101002121119. The next prime is 101002121123. The reversal of 101002121121 is 121121200101.

It is an interprime number because it is at equal distance from previous prime (101002121119) and next prime (101002121123).

It is not a de Polignac number, because 101002121121 - 2¹ = 101002121119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002121097 and 101002121106.

It is not an unprimeable number, because it can be changed into a prime (101002121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1832301 + ... + 1886618.

It is an arithmetic number, because the mean of its divisors is an integer number (9193170240).

Almost surely, 2^101002121121 is an apocalyptic number.

101002121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002121121 is a deficient number, since it is larger than the sum of its proper divisors (46088602719).

101002121121 is a wasteful number, since it uses less digits than its factorization.

101002121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719756.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101002121121 its reverse (121121200101), we get a palindrome (222123321222).

The spelling of 101002121121 in words is "one hundred one billion, two million, one hundred twenty-one thousand, one hundred twenty-one".