10121022011100 has 288 divisors, whose sum is σ = 39317694506496. Its totient is φ = 1941294873600.

The previous prime is 10121022011083. The next prime is 10121022011137. The reversal of 10121022011100 is 111022012101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16551219 + ... + 17151818.

It is an arithmetic number, because the mean of its divisors is an integer number (136519772592).

Almost surely, 2^{10121022011100} is an apocalyptic number.

10121022011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121022011100 is an abundant number, since it is smaller than the sum of its proper divisors (29196672495396).

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

10121022011100 is a wasteful number, since it uses less digits than its factorization.

10121022011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33703085 (or 33703078 counting only the distinct ones).

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

Adding to 10121022011100 its reverse (111022012101), we get a palindrome (10232044023201).

The spelling of 10121022011100 in words is "ten trillion, one hundred twenty-one billion, twenty-two million, eleven thousand, one hundred".