100121012201000 has 512 divisors, whose sum is σ = 288545587200000. Its totient is φ = 31760188416000.

The previous prime is 100121012200961. The next prime is 100121012201113. The reversal of 100121012201000 is 102210121001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14968005656 + ... + 14968012344.

It is an arithmetic number, because the mean of its divisors is an integer number (563565600000).

Almost surely, 2^{100121012201000} is an apocalyptic number.

100121012201000 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 100121012201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144272793600000).

100121012201000 is an abundant number, since it is smaller than the sum of its proper divisors (188424574999000).

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

100121012201000 is a wasteful number, since it uses less digits than its factorization.

100121012201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9770 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121012201000 its reverse (102210121001), we get a palindrome (100223222322001).

The spelling of 100121012201000 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, two hundred one thousand".