101121220011100 has 36 divisors (see below), whose sum is σ = 220417052169664. Its totient is φ = 40267104641280.

The previous prime is 101121220011067. The next prime is 101121220011107. The reversal of 101121220011100 is 1110022121101.

It is a happy number.

It is a super-2 number, since 2×101121220011100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121220011107) 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, 2267269629 + ... + 2267314228.

Almost surely, 2^{101121220011100} is an apocalyptic number.

101121220011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121220011100 is an abundant number, since it is smaller than the sum of its proper divisors (119295832158564).

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

101121220011100 is a wasteful number, since it uses less digits than its factorization.

101121220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534584094 (or 4534584087 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101121220011100 its reverse (1110022121101), we get a palindrome (102231242132201).

The spelling of 101121220011100 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty million, eleven thousand, one hundred".