101011211010100 has 144 divisors (see below), whose sum is σ = 225197761420800. Its totient is φ = 39312205120000.

The previous prime is 101011211010089. The next prime is 101011211010133. The reversal of 101011211010100 is 1010112110101.

101011211010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 1733443965 + ... + 1733502235.

It is an arithmetic number, because the mean of its divisors is an integer number (1563873343200).

Almost surely, 2^{101011211010100} is an apocalyptic number.

101011211010100 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 101011211010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112598880710400).

101011211010100 is an abundant number, since it is smaller than the sum of its proper divisors (124186550410700).

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

101011211010100 is a wasteful number, since it uses less digits than its factorization.

101011211010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61354 (or 61347 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011211010100 its reverse (1010112110101), we get a palindrome (102021323120201).

101011211010100 divided by its reverse (1010112110101) gives a square (100 = 10²).

The spelling of 101011211010100 in words is "one hundred one trillion, eleven billion, two hundred eleven million, ten thousand, one hundred".