121121101020 has 96 divisors (see below), whose sum is σ = 344919548736. Its totient is φ = 31749120000.

The previous prime is 121121100827. The next prime is 121121101037. The reversal of 121121101020 is 20101121121.

It is a super-2 number, since 2×121121101020² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121121100987 and 121121101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6201270 + ... + 6220770.

It is an arithmetic number, because the mean of its divisors is an integer number (3592911966).

Almost surely, 2^121121101020 is an apocalyptic number.

121121101020 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 121121101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172459774368).

121121101020 is an abundant number, since it is smaller than the sum of its proper divisors (223798447716).

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

121121101020 is a wasteful number, since it uses less digits than its factorization.

121121101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21271 (or 21269 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121121101020 its reverse (20101121121), we get a palindrome (141222222141).

The spelling of 121121101020 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, twenty".