101121001212001 has 4 divisors (see below), whose sum is σ = 105517566482112. Its totient is φ = 96724435941892.

The previous prime is 101121001211977. The next prime is 101121001212017. The reversal of 101121001212001 is 100212100121101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101121001212001 - 2¹⁷ = 101121001080929 is a prime.

It is a super-2 number, since 2×101121001212001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121001212041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2198282635021 + ... + 2198282635066.

It is an arithmetic number, because the mean of its divisors is an integer number (26379391620528).

Almost surely, 2^{101121001212001} is an apocalyptic number.

It is an amenable number.

101121001212001 is a deficient number, since it is larger than the sum of its proper divisors (4396565270111).

101121001212001 is an equidigital number, since it uses as much as digits as its factorization.

101121001212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396565270110.

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

Adding to 101121001212001 its reverse (100212100121101), we get a palindrome (201333101333102).

The spelling of 101121001212001 in words is "one hundred one trillion, one hundred twenty-one billion, one million, two hundred twelve thousand, one".