10101121010100 has 432 divisors, whose sum is σ = 34148597683200. Its totient is φ = 2489371004160.

The previous prime is 10101121010077. The next prime is 10101121010129. The reversal of 10101121010100 is 101012110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 246715431 + ... + 246756369.

Almost surely, 2^{10101121010100} is an apocalyptic number.

10101121010100 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 10101121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074298841600).

10101121010100 is an abundant number, since it is smaller than the sum of its proper divisors (24047476673100).

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

10101121010100 is a wasteful number, since it uses less digits than its factorization.

10101121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41332 (or 41322 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101121010100 its reverse (101012110101), we get a palindrome (10202133120201).

The spelling of 10101121010100 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, ten thousand, one hundred".