101211264 has 288 divisors, whose sum is σ = 371863440. Its totient is φ = 26127360.

The previous prime is 101211241. The next prime is 101211269. The reversal of 101211264 is 462112101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101211269) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620847 + ... + 621009.

Almost surely, 2^101211264 is an apocalyptic number.

101211264 is a gapful number since it is divisible by the number (14) 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 101211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185931720).

101211264 is an abundant number, since it is smaller than the sum of its proper divisors (270652176).

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

101211264 is a wasteful number, since it uses less digits than its factorization.

101211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101211264 is about 10060.3809073017. The cubic root of 101211264 is about 466.0254304062.

Adding to 101211264 its reverse (462112101), we get a palindrome (563323365).

It can be divided in two parts, 101211 and 264, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 101211264 in words is "one hundred one million, two hundred eleven thousand, two hundred sixty-four".