121011021011001 has 32 divisors (see below), whose sum is σ = 177938141515776. Its totient is φ = 72540598680000.

The previous prime is 121011021010993. The next prime is 121011021011009. The reversal of 121011021011001 is 100110120110121.

It is an interprime number because it is at equal distance from previous prime (121011021010993) and next prime (121011021011009).

It is not a de Polignac number, because 121011021011001 - 2³ = 121011021010993 is a prime.

It is a super-2 number, since 2×121011021011001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121011021011009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15015331 + ... + 21621336.

It is an arithmetic number, because the mean of its divisors is an integer number (5560566922368).

Almost surely, 2^{121011021011001} is an apocalyptic number.

121011021011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121011021011001 is a deficient number, since it is larger than the sum of its proper divisors (56927120504775).

121011021011001 is a wasteful number, since it uses less digits than its factorization.

121011021011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36637773.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121011021011001 its reverse (100110120110121), we get a palindrome (221121141121122).

It can be divided in two parts, 1210110 and 21011001, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 121011021011001 in words is "one hundred twenty-one trillion, eleven billion, twenty-one million, eleven thousand, one".