100121211010100 has 36 divisors (see below), whose sum is σ = 248300603306784. Its totient is φ = 34327272346080.

The previous prime is 100121211010097. The next prime is 100121211010103. The reversal of 100121211010100 is 1010112121001.

It is an interprime number because it is at equal distance from previous prime (100121211010097) and next prime (100121211010103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121211010103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71515150022 + ... + 71515151421.

It is an arithmetic number, because the mean of its divisors is an integer number (6897238980744).

Almost surely, 2^{100121211010100} is an apocalyptic number.

100121211010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121211010100 is an abundant number, since it is smaller than the sum of its proper divisors (148179392296684).

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

100121211010100 is a wasteful number, since it uses less digits than its factorization.

100121211010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143030301464 (or 143030301457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100121211010100 its reverse (1010112121001), we get a palindrome (101131323131101).

The spelling of 100121211010100 in words is "one hundred trillion, one hundred twenty-one billion, two hundred eleven million, ten thousand, one hundred".