10100121012201 has 24 divisors (see below), whose sum is σ = 15202445585152. Its totient is φ = 5955845306400.

The previous prime is 10100121012197. The next prime is 10100121012221. The reversal of 10100121012201 is 10221012100101.

It is not a de Polignac number, because 10100121012201 - 2² = 10100121012197 is a prime.

It is a super-2 number, since 2×10100121012201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100121012221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375986905 + ... + 376013766.

Almost surely, 2^{10100121012201} is an apocalyptic number.

10100121012201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100121012201 is a deficient number, since it is larger than the sum of its proper divisors (5102324572951).

10100121012201 is a wasteful number, since it uses less digits than its factorization.

10100121012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752000733 (or 752000722 counting only the distinct ones).

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

Adding to 10100121012201 its reverse (10221012100101), we get a palindrome (20321133112302).

The spelling of 10100121012201 in words is "ten trillion, one hundred billion, one hundred twenty-one million, twelve thousand, two hundred one".