121011001211100 has 1728 divisors, whose sum is σ = 494466312574976. Its totient is φ = 22211988480000.

The previous prime is 121011001211083. The next prime is 121011001211123. The reversal of 121011001211100 is 1112100110121.

It is a super-2 number, since 2×121011001211100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7455539985 + ... + 7455556215.

Almost surely, 2^{121011001211100} is an apocalyptic number.

121011001211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121011001211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247233156287488).

121011001211100 is an abundant number, since it is smaller than the sum of its proper divisors (373455311363876).

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

121011001211100 is a wasteful number, since it uses less digits than its factorization.

121011001211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16388 (or 16370 counting only the distinct ones).

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

Adding to 121011001211100 its reverse (1112100110121), we get a palindrome (122123101321221).

The spelling of 121011001211100 in words is "one hundred twenty-one trillion, eleven billion, one million, two hundred eleven thousand, one hundred".