100101122121000 has 1536 divisors, whose sum is σ = 433933936450560. Its totient is φ = 18681062400000.

The previous prime is 100101122120971. The next prime is 100101122121023. The reversal of 100101122121000 is 121221101001.

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 383 ways as a sum of consecutive naturals, for example, 1222180050 + ... + 1222261950.

It is an arithmetic number, because the mean of its divisors is an integer number (282509073210).

Almost surely, 2^{100101122121000} is an apocalyptic number.

100101122121000 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 100101122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216966968225280).

100101122121000 is an abundant number, since it is smaller than the sum of its proper divisors (333832814329560).

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

100101122121000 is a wasteful number, since it uses less digits than its factorization.

100101122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82004 (or 81979 counting only the distinct ones).

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

Adding to 100101122121000 its reverse (121221101001), we get a palindrome (100222343222001).

The spelling of 100101122121000 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand".