101002011000121 has 64 divisors (see below), whose sum is σ = 139006861019136. Its totient is φ = 70985542118400.

The previous prime is 101002011000119. The next prime is 101002011000127. The reversal of 101002011000121 is 121000110200101.

It is not a de Polignac number, because 101002011000121 - 2¹ = 101002011000119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002011000098 and 101002011000107.

It is not an unprimeable number, because it can be changed into a prime (101002011000127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13945195 + ... + 19911616.

It is an arithmetic number, because the mean of its divisors is an integer number (2171982203424).

Almost surely, 2^{101002011000121} is an apocalyptic number.

101002011000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002011000121 is a deficient number, since it is larger than the sum of its proper divisors (38004850019015).

101002011000121 is a wasteful number, since it uses less digits than its factorization.

101002011000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33856942.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101002011000121 its reverse (121000110200101), we get a palindrome (222002121200222).

The spelling of 101002011000121 in words is "one hundred one trillion, two billion, eleven million, one hundred twenty-one", and thus it is an aban number.