101141122100 has 36 divisors (see below), whose sum is σ = 227044387500. Its totient is φ = 39061397760.

The previous prime is 101141122097. The next prime is 101141122111. The reversal of 101141122100 is 1221141101.

It can be written as a sum of positive squares in 6 ways, for example, as 22276756516 + 78864365584 = 149254^2 + 280828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17435225 + ... + 17441024.

Almost surely, 2^101141122100 is an apocalyptic number.

101141122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101141122100 is an abundant number, since it is smaller than the sum of its proper divisors (125903265400).

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

101141122100 is a wasteful number, since it uses less digits than its factorization.

101141122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34876292 (or 34876285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101141122100 its reverse (1221141101), we get a palindrome (102362263201).

The spelling of 101141122100 in words is "one hundred one billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred".