10101121400 has 48 divisors (see below), whose sum is σ = 24031293000. Its totient is φ = 3946481280.

The previous prime is 10101121379. The next prime is 10101121409. The reversal of 10101121400 is 412110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101121409) 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, 578675 + ... + 595874.

Almost surely, 2^10101121400 is an apocalyptic number.

10101121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101121400 is an abundant number, since it is smaller than the sum of its proper divisors (13930171600).

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

10101121400 is a wasteful number, since it uses less digits than its factorization.

10101121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174608 (or 1174599 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101121400 its reverse (412110101), we get a palindrome (10513231501).

The spelling of 10101121400 in words is "ten billion, one hundred one million, one hundred twenty-one thousand, four hundred".