101211121221100 has 288 divisors, whose sum is σ = 261353612298240. Its totient is φ = 33610899456000.

The previous prime is 101211121221053. The next prime is 101211121221151. The reversal of 101211121221100 is 1122121112101.

It is a super-3 number, since 3×101211121221100³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166206382 + ... + 166814218.

It is an arithmetic number, because the mean of its divisors is an integer number (907477820480).

Almost surely, 2^{101211121221100} is an apocalyptic number.

101211121221100 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 101211121221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130676806149120).

101211121221100 is an abundant number, since it is smaller than the sum of its proper divisors (160142491077140).

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

101211121221100 is a wasteful number, since it uses less digits than its factorization.

101211121221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608169 (or 608162 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101211121221100 its reverse (1122121112101), we get a palindrome (102333242333201).

The spelling of 101211121221100 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred".