121021101201000 has 1024 divisors, whose sum is σ = 520670721392640. Its totient is φ = 22585443840000.

The previous prime is 121021101200957. The next prime is 121021101201071. The reversal of 121021101201000 is 102101120121.

It is a super-2 number, since 2×121021101201000² (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110566405 + ... + 111655595.

It is an arithmetic number, because the mean of its divisors is an integer number (508467501360).

Almost surely, 2^{121021101201000} is an apocalyptic number.

121021101201000 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 121021101201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260335360696320).

121021101201000 is an abundant number, since it is smaller than the sum of its proper divisors (399649620191640).

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

121021101201000 is a wasteful number, since it uses less digits than its factorization.

121021101201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089283 (or 1089269 counting only the distinct ones).

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

Adding to 121021101201000 its reverse (102101120121), we get a palindrome (121123202321121).

The spelling of 121021101201000 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred one million, two hundred one thousand".