121101211101000 has 256 divisors, whose sum is σ = 430835369852160. Its totient is φ = 28056027033600.

The previous prime is 121101211100957. The next prime is 121101211101019. The reversal of 121101211101000 is 101112101121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90665214 + ... + 91991213.

It is an arithmetic number, because the mean of its divisors is an integer number (1682950663485).

Almost surely, 2^{121101211101000} is an apocalyptic number.

121101211101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101211101000 is an abundant number, since it is smaller than the sum of its proper divisors (309734158751160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121101211101000 is a wasteful number, since it uses less digits than its factorization.

121101211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182656481 (or 182656467 counting only the distinct ones).

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

Adding to 121101211101000 its reverse (101112101121), we get a palindrome (121202323202121).

The spelling of 121101211101000 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred eleven million, one hundred one thousand".