101011121201100 has 144 divisors (see below), whose sum is σ = 319187284206336. Its totient is φ = 24459936672000.

The previous prime is 101011121201099. The next prime is 101011121201131. The reversal of 101011121201100 is 1102121110101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14327371 + ... + 20181570.

It is an arithmetic number, because the mean of its divisors is an integer number (2216578362544).

Almost surely, 2^{101011121201100} is an apocalyptic number.

101011121201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011121201100 is an abundant number, since it is smaller than the sum of its proper divisors (218176163005236).

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

101011121201100 is a wasteful number, since it uses less digits than its factorization.

101011121201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34509856 (or 34509849 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101011121201100 its reverse (1102121110101), we get a palindrome (102113242311201).

Subtracting from 101011121201100 its reverse (1102121110101), we obtain a palindrome (99909000090999).

The spelling of 101011121201100 in words is "one hundred one trillion, eleven billion, one hundred twenty-one million, two hundred one thousand, one hundred".